How did you create this game and whats cards?
With Java2D, GAGE Timer, LWJGL FMOD and JInput.
I'm in the process of porting my code to LWJGL for performance reasons and give away Java2D (
this I will miss this API, it's so easy to use).
My video card on my laptop is S3 Graphics SuperSavage/IXC 16 megs and it runs on a Toshiba Tecra 9000 Pentium 3 1 Gig.
If you want to create a game you'll have to consider which type of game and the quality of the game you'd like to reach. For non sophisticated 2D graphics Java2D performs very well on windows but not on Linux and Mac yet. On the other hand Sun said recently that when using the OpenGL pipeline of Java2D on Linux it boosts dramaticaly the performance.
For flashy and cool visual effects, LWJGL should be a very good API for that but be aware that once you enter the OpenGL, you have to deal with low level graphics operations so my advice is use LWJGL if you really need it. Unless you're already fomfortable with OpenGL.
For 3D game I have very few knowledges in this field but consider Xith3D on top of LWJGL. If not, there's JOGL, jME and others too.