I have similar fujitsu machines core2duo e5500 3.0 Ghz with 2gb ddr3 gma 4500. You ram is a big problem, get more ram and you could play LOL, Counter strike 1.6, starcraft, warcraft3, Red alert 2, stronghold, conquest frontier wars, sied meirs alpha centauri, minecraft (barely, if u have openGL 2.5+) and some other old games.
Sure you have old crappy system, i guess you cant spend money and want to play old games, nothing wrong here, lots of good old games
You could also get graphic card like gt 730 or r7 240, with that (and 4gb of ram) you could play even more games just fine. Those graphic cards are dirt cheap on used market