I will warn you that the DS may only be backward compatible with GBA. The GBA actually contains GBC components so that it can run GBC and GB games (because the GBA has a newer, more powerfull proccesor than the one GB and GBC used). From what I've seen, the DS is another proccessing evolution. While it is possible that it is powerfull enough to run both GBA and GBC in color, it is possible that it is not, or Nintendo finds problems running some games in emulation and decides to put GBA components in the DS to run GBA games and drops GBC compatability.