the only game I know of for a fact that used an analog stick was TailGunner, but it did not use a trigger stick. You can use one, but the original game did not.
They can be used for some of the games that had yokes, like Star Wars, ROTJ, etc.
According to KLOV, Red Baron and Food Fight used analog sticks.
There must be others, or HAPP wouldn't sell them.