What happened to Fasa Corp?

They went out of business.
They produced several games, including Battletech and Shadowrun.

Both these games here picked up and are in still in production.
Shadowrun, is up to at least the 4th edition rule set, but is still primarily a role playing game.

Battletech is going in two directions.
The folks at Whizkids are producing a version using their dial base system.