Anything with very low graphics, so stuff like old turn based, hex tile games like Fantasy General or the old Panzer General type games. They are dirt cheap if you look about. But really, you should start saving for a new laptop or PC or even just ask people you know if they have an old PC or lap to sell/lend you.
Also check out http://www.homeoftheunderdogs.net/, they have loads of legit free abandon-ware or freeware games (no pirate content).As they are older games they may work on your system. One old gem I remember was Star Control 2, now called Ur-Quan Masters HD http://sourceforge.net/projects/urquanmastershd/
Features
Play in the original graphics, OR in Hi-Res mode
Internet Multi-Player
Hundreds of worlds to explore.
Ship vs. Ship Melee combat: 26 Unique ships. Easy to play, difficult to master.
Amazing Single Player Story
Based on 1992's Game of the Year, Star Control 2