Deer Closes Jan 10. No other big game except for wild boar but thats only on private land.
Waterfowl closes the end of Jan.
Small game closes the end of Feb.
Go to the TWRA website and download the hunting regs. They also have a list of Wildlife Management Areas you can hunt if you don't have access to private land. If you don't have access to private land but you do have access to a canoe, you can float some of the mid sized rivers and have the opportunity to shoot ducks, geese, squirrels, and rabbits.