If you're a Comp. Sci. or Math major, I would recommend staying with the simplest calculator you can stand until you get through Calc. III and Differential Equations. A TI that can do integrals may seem nice when you're doing your homework, but you'll learn so much more if you don't depend on your calculator! Personally, I purchased a TI-92 right before I took Calc. III. It made the course so easy that I felt like I was cheating the whole time. Sadly, I don't remember much from that class either.
So I would say, yes, a TI-83+ is actually more than you'll even
need to get through high school and college. In fact, if you're an actuary, the only thing you'll be able to use is a very basic, non-graphing calculator
Oh, and yes you can play games on the TI-83+. You'll need a link cable to d/l them from your computer though. Games on your calculator are bad too. You'll find yourself playing them instead of paying attention in class. Trust me
