Inexpensive Projector For Video Games I Am Looking For An Inexpensive DVD Projector For My Boyfriend, Which One Would Be The Best To Buy?

I am looking for an inexpensive DVD projector for my boyfriend, which one would be the best to buy? - inexpensive projector for video games

Some details: I think, especially for watching DVDs and video games like Call of Duty will be used, etc. .. My budget is not much more ($ 500 or $ 350 maximum) and the room where you have a large window, but very dark at night. I just want the wall project - I need a screen? Thank you in advance for your help - I am beside myself before that!