I'm looking into getting a new computer I want to know if I need a gaming computer or a different one to run the following games. The only thing I request is it be a PC and not a laptop/notebook
Without knowing what I need, I don't have a budget at the moment.

But here are the following games:

Sims 4-Deluxe -
RECOMMENDED SPECS:
OS: 64 Bit Windows 7, 8, 8.1, or 10
PROCESSOR: Intel core i5 or faster, AMD Athlon X4
VIDEO CARD: NVIDIA GTX 650 or better
MEMORY: 4 GB RAM
HARD DRIVE: 18 GB of Hard Drive space

Outdoor Retreat
RECOMMENDED SPECS:
OS: 64 Bit Windows 7, 8, 8.1, or 10
PROCESSOR: Intel core i5 or faster, AMD Athlon X4
VIDEO CARD: NVIDIA GTX 650 or better
MEMORY: 4 GB RAM
HARD DRIVE: 18 GB of Hard Drive space

Get to Work
RECOMMENDED SPECS:
OS: 64 Bit Windows 7, 8, 8.1, or 10
PROCESSOR: Intel core i5 or faster, AMD Athlon X4
VIDEO CARD: NVIDIA GTX 650 or better
MEMORY: 4 GB RAM
HARD DRIVE: 18 GB of Hard Drive space

Luxury Party
RECOMMENDED SPECS:
OS: 64 Bit Windows 7, 8, 8.1, or 10
PROCESSOR: Intel core i5 or faster, AMD Athlon X4
VIDEO CARD: NVIDIA GTX 650 or better
MEMORY: 4 GB RAM
HARD DRIVE: 18 GB of Hard Drive space

Perfect Patio
RECOMMENDED SPECS:
OS: 64 Bit Windows 7, 8, 8.1, or 10
PROCESSOR: Intel core i5 or faster, AMD Athlon X4
VIDEO CARD: NVIDIA GTX 650 or better
MEMORY: 4 GB RAM
HARD DRIVE: 18 GB of Hard Drive space

Spa Day
RECOMMENDED SPECS:
OS: 64 Bit Windows 7, 8, 8.1, or 10
PROCESSOR: Intel core i5 or faster, AMD Athlon X4
VIDEO CARD: NVIDIA GTX 650 or better
MEMORY: 4 GB RAM
HARD DRIVE: 18 GB of Hard Drive space

Cool Kitchen
RECOMMENDED SPECS:
OS: 64 Bit Windows 7, 8, 8.1, or 10
PROCESSOR: Intel core i5 or faster, AMD Athlon X4
VIDEO CARD: NVIDIA GTX 650 or better
MEMORY: 4 GB RAM
HARD DRIVE: 18 GB of Hard Drive space

Spooky
RECOMMENDED SPECS:
OS: 64 Bit Windows 7, 8, 8.1, or 10
PROCESSOR: Intel core i5 or faster, AMD Athlon X4
VIDEO CARD: NVIDIA GTX 650 or better
MEMORY: 4 GB RAM
HARD DRIVE: 18 GB of Hard Drive space

Get Together
RECOMMENDED SPECS:
OS: 64 Bit Windows 7, 8, 8.1, or 10
PROCESSOR: Intel core i5 or faster, AMD Athlon X4
VIDEO CARD: NVIDIA GTX 650 or better
MEMORY: 4 GB RAM
HARD DRIVE: 18 GB of Hard Drive space

Movie Hangout
RECOMMENDED SPECS:
OS: 64 Bit Windows 7, 8, 8.1, or 10
PROCESSOR: Intel core i5 or faster, AMD Athlon X4
VIDEO CARD: NVIDIA GTX 650 or better
MEMORY: 4 GB RAM
HARD DRIVE: 18 GB of Hard Drive space

Romantic Garden
RECOMMENDED SPECS:
OS: 64 Bit Windows 7, 8, 8.1, or 10
PROCESSOR: Intel core i5 or faster, AMD Athlon X4
VIDEO CARD: NVIDIA GTX 650 or better
MEMORY: 4 GB RAM
HARD DRIVE: 18 GB of Hard Drive space

Dine Out
RECOMMENDED SPECS:
OS: 64 Bit Windows 7, 8, 8.1, or 10
PROCESSOR: Intel core i5 or faster, AMD Athlon X4
VIDEO CARD: NVIDIA GTX 650 or better
MEMORY: 4 GB RAM
HARD DRIVE: 18 GB of Hard Drive space

Kids Room
RECOMMENDED SPECS:
OS: 64 Bit Windows 7, 8, 8.1, or 10
PROCESSOR: Intel core i5 or faster, AMD Athlon X4
VIDEO CARD: NVIDIA GTX 650 or better
MEMORY: 4 GB RAM
HARD DRIVE: 18 GB of Hard Drive space

Backyard Stuff
RECOMMENDED SPECS:
OS: 64 Bit Windows 7, 8, 8.1, or 10
PROCESSOR: Intel core i5 or faster, AMD Athlon X4
VIDEO CARD: NVIDIA GTX 650 or better
MEMORY: 4 GB RAM
HARD DRIVE: 18 GB of Hard Drive space

City Living
RECOMMENDED SPECS:
OS: 64 Bit Windows 7, 8, 8.1, or 10
PROCESSOR: Intel core i5 or faster, AMD Athlon X4
VIDEO CARD: NVIDIA GTX 650 or better
MEMORY: 4 GB RAM
HARD DRIVE: 18 GB of Hard Drive space

Vintage Glamour
RECOMMENDED SPECS:
OS: 64 Bit Windows 7, 8, 8.1, or 10
PROCESSOR: Intel core i5 or faster, AMD Athlon X4
VIDEO CARD: NVIDIA GTX 650 or better
MEMORY: 4 GB RAM
HARD DRIVE: 18 GB of Hard Drive space

Vampires
RECOMMENDED SPECS:
OS: 64 Bit Windows 7, 8, 8.1, or 10
PROCESSOR: Intel core i5 or faster, AMD Athlon X4
VIDEO CARD: NVIDIA GTX 650 or better
MEMORY: 4 GB RAM
HARD DRIVE: 18 GB of Hard Drive space

Bowling Night
RECOMMENDED SPECS:
OS: 64 Bit Windows 7, 8, 8.1, or 10
PROCESSOR: Intel core i5 or faster, AMD Athlon X4
VIDEO CARD: NVIDIA GTX 650 or better
MEMORY: 4 GB RAM
HARD DRIVE: 18 GB of Hard Drive space

ParentHood
RECOMMENDED SPECS:
OS: 64 Bit Windows 7, 8, 8.1, or 10
PROCESSOR: Intel core i5 or faster, AMD Athlon X4
VIDEO CARD: NVIDIA GTX 650 or better
MEMORY: 4 GB RAM
HARD DRIVE: 18 GB of Hard Drive space

Toddler Stuff
RECOMMENDED SPECS:
OS: 64 Bit Windows 7, 8, 8.1, or 10
PROCESSOR: Intel core i5 or faster, AMD Athlon X4
VIDEO CARD: NVIDIA GTX 650 or better
MEMORY: 4 GB RAM
HARD DRIVE: 18 GB of Hard Drive space

Cats&Dogs
RECOMMENDED SPECS:
OS: 64 Bit Windows 7, 8, 8.1, or 10
PROCESSOR: Intel core i5 or faster, AMD Athlon X4
VIDEO CARD: NVIDIA GTX 650 or better
MEMORY: 4 GB RAM
HARD DRIVE: 18 GB of Hard Drive space

Jungle Adventures
RECOMMENDED SPECS:
OS: 64 Bit Windows 7, 8, 8.1, or 10
PROCESSOR: Intel core i5 or faster, AMD Athlon X4
VIDEO CARD: NVIDIA GTX 650 or better
MEMORY: 4 GB RAM
HARD DRIVE: 18 GB of Hard Drive space

Laundry Day
RECOMMENDED SPECS:
OS: 64 Bit Windows 7, 8, 8.1, or 10
PROCESSOR: Intel core i5 or faster, AMD Athlon X4
VIDEO CARD: NVIDIA GTX 650 or better
MEMORY: 4 GB RAM
HARD DRIVE: 18 GB of Hard Drive space

Seasons
RECOMMENDED SPECS:
OS: 64 Bit Windows 7, 8, 8.1, or 10
PROCESSOR: Intel core i5 or faster, AMD Athlon X4
VIDEO CARD: NVIDIA GTX 650 or better
MEMORY: 4 GB RAM
HARD DRIVE: 18 GB of Hard Drive space

Get Famous
RECOMMENDED SPECS:
OS: 64 Bit Windows 7, 8, 8.1, or 10
PROCESSOR: Intel core i5 or faster, AMD Athlon X4
VIDEO CARD: NVIDIA GTX 650 or better
MEMORY: 4 GB RAM
HARD DRIVE: 18 GB of Hard Drive space

Island Living
RECOMMENDED SPECS:
OS: 64 Bit Windows 7, 8, 8.1, or 10
PROCESSOR: Intel core i5 or faster, AMD Athlon X4
VIDEO CARD: NVIDIA GTX 650 or better
MEMORY: 4 GB RAM
HARD DRIVE: 18 GB of Hard Drive space

Fitness
RECOMMENDED SPECS:
OS: 64 Bit Windows 7, 8, 8.1, or 10
PROCESSOR: Intel core i5 or faster, AMD Athlon X4
VIDEO CARD: NVIDIA GTX 650 or better
MEMORY: 4 GB RAM
HARD DRIVE: 18 GB of Hard Drive space

Realm of Magic
RECOMMENDED SPECS:
OS: 64 Bit Windows 7, 8, 8.1, or 10
PROCESSOR: Intel core i5 or faster, AMD Athlon X4
VIDEO CARD: NVIDIA GTX 650 or better
MEMORY: 4 GB RAM
HARD DRIVE: 18 GB of Hard Drive space

Sims 4 packs I want to buy:
DISCOVER University
RECOMMENDED SPECS:
OS: 64 Bit Windows 7, 8, 8.1, or 10
PROCESSOR: Intel core i5 or faster, AMD Athlon X4
VIDEO CARD: NVIDIA GTX 650 or better
MEMORY: 4 GB RAM
HARD DRIVE: 18 GB of Hard Drive space

Eco Living
RECOMMENDED SPECS:
OS: 64 Bit Windows 7, 8, 8.1, or 10
PROCESSOR: Intel core i5 or faster, AMD Athlon X4
VIDEO CARD: NVIDIA GTX 650 or better
MEMORY: 4 GB RAM
HARD DRIVE: 18 GB of Hard Drive space

Snowy Escape
RECOMMENDED SPECS:
OS: 64 Bit Windows 7, 8, 8.1, or 10
PROCESSOR: Intel core i5 or faster, AMD Athlon X4
VIDEO CARD: NVIDIA GTX 650 or better
MEMORY: 4 GB RAM
HARD DRIVE: 18 GB of Hard Drive space

maybe Nifty Knitting
RECOMMENDED SPECS:
OS: 64 Bit Windows 7, 8, 8.1, or 10
PROCESSOR: Intel core i5 or faster, AMD Athlon X4
VIDEO CARD: NVIDIA GTX 650 or better
MEMORY: 4 GB RAM
HARD DRIVE: 18 GB of Hard Drive space
With the above Sims 4 games -I should mention i also want to use Mods and CC.

Other games
(note: I wouldn't be playing them all at once though)
Nancy Drew
Stay Tune for Danger:
Operating System:
Windows® 95/98/ME/2000/Vista/7/8/10
Minimum System Requirements:
166 MHz or greater Pentium or equivalent class CPU
16 MB of RAM
130MB or more of hard drive space
16-Bit color graphics video card
16-Bit Windows-compatible sound card

Message in a Haunted Mansion
Operating System:
Windows® 98/ME/2000/XP/Vista/7/8/10
Minimum System Requirements:
166 MHz or greater Pentium or equivalent class CPU
16 MB of RAM
135MB or more of hard drive space
16-Bit DirectX 7.0 compatible graphics video card
16-Bit DirectX 7.0 compatible sound card
mouse, and speakers

Treasure in the Royal Tower
Operating System:
Windows® 98/ME/2000/XP/Vista/7/8/10
Minimum System Requirements:
166 MHz or greater Pentium or equivalent class CPU
16 MB of RAM
150MB or more of hard drive space
16-Bit DirectX 7.0 compatible graphics video card
16-Bit DirectX 7.0 compatible sound card
mouse, and speakers

The Final Scene
Windows® 98/ME/2000/XP/Vista/7/8/10
Minimum System Requirements:
166 MHz or greater Pentium or equivalent class CPU
16 MB of RAM
150MB or more of hard drive space
16-Bit DirectX 7.0 compatible graphics video card
16-Bit DirectX 7.0 compatible sound card
mouse, and speakers

Ghost Dogs of Moon lake
Windows® 98/ME/2000/XP/Vista/7/8/10
Minimum System Requirements:
200 MHz or greater Pentium or equivalent class CPU
16 MB of RAM
160MB or more of hard drive space
16-Bit DirectX 7.0 compatible graphics video card
16-Bit DirectX 7.0 compatible stereo sound card
mouse, and speakers

The Haunted Carousel
Operating System:
Windows XP/Vista/7/8/10
Minimum System Requirements:
200Mhz Pentium
16MB RAM
160 MB hard drive space
16-bit color graphics video card
16-bit Window-compatible stereo sound card
Mouse and Speakers.

If I could find this someplace downstairs The Curse of Blackmoore Manor
Operating System:
Windows XP/Vista/7/8/10
Minimum System Requirements:
400MHz Pentium
64MB RAM
300 MB hard drive space
16-bit color graphics video card with at least 16MB of VRAM
16-bit Windows-compatible stereo sound card
Mouse and Speakers

Shadow at the Water's Edge
Operating System:
Windows® XP/Vista/7/8/10
Windows Minimum System Requirements:
1 GHz or greater Pentium or equivalent class CPU
256 MB of RAM
1 GB or more of hard drive space
32 MB DirectX 9.0 compatible video card
16 bit DirectX compatible sound card
mouse and speakers

The Silent Spy
Operating System:
Windows XP/Vista/7/8/10
Windows Minimum System Requirements:
1.5 GHz or greater Pentium 4 CPU or equivalent class
512 MB of RAM
3GB or more hard drive space
128 MB DirectX 9.0 compatible video card
16 bit DirectX cmpatible sound card
Mouse and speakers

Labyrinth of Lies
Operating System:
Windows® XP/Vista/7/8/10
Windows Minimum System Requirements:
1.5 GHz or greater Pentium 4 CPU or equivalent class
512 MB of RAM
3GB or more hard drive space
128 MB DirectX 9.0 compatible video card
16 bit DirectX compatible sound card
Mouse and speakers
(for everything but Shadow at the Water's Edge I would need an external optical drive)


Bluestacks (an "app") for me to play mobile game
Operating System
Microsoft Windows 7 and above.
Processor
Intel or AMD Processor.
RAM
At least 4GB of RAM
HDD
5GB Free Disk Space.
Games for Bluestacks (no information given do to the game being mobile/Android only hence this app to play those on PC)
Hogwarts Mystery
Sims Free play
Papa's Mocharia To Go /other gamerias from this series
maybe Criminal Cases series (4 different ones of them).'

Extra:
Photoscape for editing SimLit photos
(No additional requirements) beside the Window 7.8/1)
Adobe Reader for SimLit "news article"

(I did try to narrow it down but for everything but the sims pack the idea works of going with the best for instance I used the information with Bluestacks Bluestacks needs:
Intel or AMD Processor.RAM
At least 4GB of RAM
HDD 5GB Free Disk Space

and I used the last ND game to be able to see what the best requrement is
4 CPU or equivalent class
512 MB of RAM
3GB or more hard drive space)

but the idea doesn't work with Sims 4 since the more packs you have the more RAM you need and that's not even taking into account mods and CC as well)

What is the best computer for me with these various Specs for the games - a gaming one or a different computer?

Whats your budget?

I'd suggest a system with at least 8GB RAM. And you can save money by buying a refurb with a warranty. I picked up a Core i5 4590 with 8GB RAM 128GB SSD and 1TB HDD for $200 each on amazon a few months ago and the Intel HD graphics plays games on normal graphics settings of the list that you have.

A friend of mine wanted to play SIMS 4 and I built her up a computer with Athlon II x4 620 2.6Ghz Quadcore, 4GB DDR2 800Mhz RAM, and 128GB SSD C: with 500GB HDD D: and for GPU I had a SPARE NVidia Quadro K2000 2GB DDR5 video card and it plays SIMS 4 with no issues on normal settings and she has the packs for it. The OS on the system I built for her though is Windows 7 64-bit as for Windows 10 64-bit with 4GB RAM starves games of RAM because Win 10 is memory hungry and best at 8GB or greater RAM to avoid excessive paging.