What kind of Video Card can be placed on a Lenovo ThinkCentre M82? I'm just looking for a basic card that can run sports games on 1080

http://shop.lenovo.com/...asheet.pdf lists two case sizes, mini tower and small form factor case. Power supplies are 450W or 280W or 240W. No expansion slots on motherboards are listed, and Lenovo Support pages don't give any information on a product that is no longer sold. Thanks, Lenovo!
With no information or details from you that are critical to making guesses for you, you are now on your own.

You comment… Let's say the PSU is only 240… Forget getting a better video card… PSU is way to weak… And since it appears your are running a " small form factor computer " that only make it even more difficult in recommending a video card that will fit…

Probably not a 440…
Use a PSU calculator to see how many watts you'd need:
https://outervision.com/power-supply-calculator

Googling pictures, it looks like it has a PCI Express x16 slot… But it'd only work with low form factor cards… And it seems it only works with certain brands of cards, not normal ones.
https://forums.lenovo.com/...-p/1148719