A cheap computer game does not always mean an old or boring game. If you have some patience and know where to look, you can find some newer releases on the cheap.
One way is to get on the mailing list of a computer game retailer. You will be sent game reviews, and notifications of new releases as well as coupons and special offers on purchases. When you visit the websites of computer game manufacturers and retailers, take a minute to sign up for their email mailing list. You may not be interested in some of it, especially since reviews are such a matter of personal opinion. However it might be worth it if they email you a coupon code or special deal on a new game.