Rio Grande.... That's about it. Elephant Butte is a lake about two hours away in New Mexico. That's where most people go fish and enjoy water sports. There are also random little lakes for fishing and such but Elephant Butte is definitely the most notable.
Water leaves lakes all the time in the form of evaporation. If the lake level rises beyong the normal banks, the lake will overflow. If you are pumping water out of a lake, that is called using the water.