I have heard of Jacksonville Jaguars and the possibility of the Saint Louis Rams. My concern of either moving to LA would be fan support.
The LA Rams moved and the fan following was low at that point for such a huge market. The Oakland Raiders moved to LA and eventually the fan base slipped again and the Raiders moved back to Oakland.
A state of the art Stadium would be a big draw to a team in LA, especially a current team in a shabby facility.
LA fans need to stick with a team, through losing seasons as well as winning seasons.