I have an ASUS Essentio Desktop PC CG5275 and would like to be able to watch Blu-Ray DVD's on it with my external ASUS Blu-Ray DVD player. I'm not a gamer for the most part although I do play on occasion. I don't want to spend a ton of money. Below is the info I hope that will help you. Also if you see anything else that might be upgradable I'd love to know. I might just give the machine a GOOD update on stuff if possible.

 Thanks for your advise in advance.

Sabes 
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Processor / Chipset

    Type Intel Core i5 650 / 3.2 GHz
    Number of Cores 8-core
    64-bit Computing Yes
    CPU Qty 1.0
    Max CPU Qty 1.0
    CPU Upgradability Upgradable
    Chipset Type Intel H55 Express
    Front Side Bus 1333.0 MHz

Cache Memory

    Installed Size L2 cache - 4.0 MB
    Cache Per Processor 4 MB

RAM

    Installed Size 8.0 GB / 16.0 GB (max)
    Technology DDR3 SDRAM
    Memory Speed 1333.0 MHz
    Form Factor DIMM 240-pin

Hard Drive

    Capacity 1.0 x 1.0 TB
    Interface Type Serial ATA-300
    Spindle Speed 7200.0 rpm

STORAGE Controller

    Type 1.0 x Serial ATA - Integrated
    Controller Interface Type Serial ATA-300

Optical Storage

    Type DVD±RW (±R DL)


Graphics Controller

    Type Integrated
    Graphics Processor / Vendor Intel HD Graphics Dynamic Video Memory Technology 5.0
    Video Memory 32.0 MB

Expansion / Connectivity

    BAYS 1.0 (free) x 5.25",
    1.0 (free) x 3.5"
    Slots 4.0 (total) / 1.0 (free) x PCI Express x1 - DIMM 240-pin,
    1.0 (total) / 2.0 (free) x Processor - LGA1156 Socket,
    2.0 (total) / 0.0 (free) x PCI Express 2.0 x16,
    1.0 Memory,
    1.0 PCI
    Interfaces 1.0 x Display / video - Input ( 1 front, 1 rear ),
    1.0 x Network - VGA ( 4 front, 6 rear ),
    1.0 x Keyboard - SPDIF input,
    1.0 x Audio - Output,
    10.0 x Audio / video - HDMI,
    1.0 x Headphones - Generic,
    2.0 x Microphone - DVI-Digital,
    1.0 x Display / video - Ethernet 10Base-T/100Base-TX/1000Base-T,
    1.0 x Hi-Speed USB


Operating System / Software

    OS Provided Microsoft Windows 7 Home Premium, 64bit



http://www.intel.com/support/graphics/sb/CS-029871.htm
Actually, your integrated Intel HD graphics should suffice for typical 720p Blu-ray playback, but it may not do for 3D Blu-rays and post-processing.
http://forums.anandtech.com/archive/index.php/t-2220152.html
Any cheap discrete card that supports UVD3 will be absolutely perfect, like the Radeon HD 6450.