Will I be able to transfer file's from my new LG VERIZON Smartphone to My XP operating system on my computer?I'd visit the phone manuf. site and see if it's supported by XP.
Most phones have an app you install to the PC to save /store/copy data etc...
There are many ways to transfer files between a phone and your PC. If your phone mfr provides a driver for Windows XP, you should be able to plug in the phone with a USB cable and have the phone appear as a drive within Windows Explorer.

Even if you can't do that for lack of a Win XP driver, there are other ways to do it. Just about all phones have Bluetooth built-in so if your computer supports Bluetooth you can use Bluetooth to transfer files. There are apps that can be installed on your phone that allow you to CONNECT to your phone from your web browser on your computer to transfer files back and forth. There are file manager apps that allow you to connect to Windows Shares on your network and transfer files. Yet another method is Cloud storage such as DropBox where you can have files on your phone downloaded to your PC. DropBox is the method I PERSONALLY use most often when I want to transfer some files from my phone to PC or from PC to phone.. I use Google Drive for cloud storage for copying pictures off my android phone where I can easily get them to my computer. I have tried the USB cable method and my LG 16C trac phone appears to NEED a driver that is no where to be acquired so the cloud storage works for me.Yes. With some luck, even without the phone's driver. here's how you can do it:

1. Via a USB cable
2. Via Bluetooth
3. By uploading them over one drive or google drive and then downloading them to your PC
4. By CONNECTING your phone to a friend's (or some other pc) that has windows 7 or higher and then copy all the data through usb cable, into the pc, and then onto a usb.
5. By doing same as 4 but making a disc instead

by no means 3, 4 or 5 are convenient, or fast for that matter. They're just 3 more ways... BUT.... they do provide you with a solid backup that you can retrieve anytime and any place you want. (y)