Check out Gen 1:29,30 and then Gen 9:3. No meat before the flood.
Also of interest is Lev. chapter 11. Here God does tell people not to eat certain meats.
I personally do not think it's wrong to eat meat, probably any meat. However, I have heard arguments for only eating the "clean list" we find in Lev. 11, and that is probably a healthier way to eat meat, because if you look at the "unclean list" you'll find the parasite ridden and the bottom/carrion feeders there.