The Guitar Hero games are:
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Guitar Hero 1, Guitar Hero Rock the 80s, Guitar Hero 2, Guitar Hero 3, Guitar Hero World Tour, Guitar Hero Metallica, Guitar Hero Smash Hits, Guitar Hero 5, Guitar Hero Van Halen
No. You can only use it on the guitar hero games after guitar hero 3.
Yes, the games are backwards compatible with the controllers. However, the old controllers can not be used with the Xbox One, or PS4.
No, no Guitar Hero games were ever made for the regular Xbox.
The final Guitar Hero they will ever make is Guitar Hero: Warriors Of Rock. They are, however, still going to make more Rock Band games