The 80's were essentially the final decade for the once force-to-be-reckoned-with Movie Musical before they disappeared almost entirely until the recent spat of insipid High School Musical films. Ironically, those Films were made by the choreographer Kenny Ortega who had a hand with a couple of memorable dance oriented Pictures back in the 80s--
DIRTY DANCING being the most recognizable as it was the biggest hit of any Film mentioned here. Since trends were ever-evolving in the 80's, the Movie Nusical would go through a melting pot of change, some say for the worse, I say it was a last blast of fun.
As the years would progress in The Eighties, each Movie Musical would change right with it. Notably the early days of rap & hip-hop having the most influence on what would hit the screens as it was hitting the streets (while the
Footloose kids were Dancing In The Sheets) I would count these as my favorites:
1980 got the movie musical off to a great start with these 2 films. One, a truly memorable teenage picture (which has spawned a TV show in the 80's, a failed reality series and a remake this Year) the other a great film of a music legend that transcended the bio film (meaning that unlike most bio films, it didn't suck)

Another 2 from
'80...
1981-1983

Say what you will, I LOVE me some
Grease 2.
1984-1985
1986-1987
1988-1989
2 Animated Musical treats!
"Dance, Ballerina!"
Documentaries & What not

After all that musical goodness, I still managed to leave out a bunch of notable music movies.
AMADEUS (1984), LA BAMBA (1987), SMITHEREENS (1982) anyone? How's about the not-as-classic but still worth the mention:
THE BLANK GENERATION (1980), BODY ROCK (1984), BREAKIN' (1984), EDDIE AND THE CRUISERS (1983) and maybe
THE IN CROWD (1988)... I was never a fan of these films, but they had they had their time...
THE BEST LITTLE WHOREHOUSE IN TEXAS (1982), CROSSROADS (1986), HARD TO HOLD (1984), THE LITTLE MERMAID (1989), STARSTRUCK (1982) and
TAP (1989).
And lasty... these musical movies, for different reasons, traumatized me greatly:
ANNIE (1982), THE APPLE (1980), CAN'T STOP THE MUSIC (1980), FAST FORWARD (1985), THE JAZZ SINGER (1980) and YENTL (1983) ... Oh how I shiver still from their memory! To recover, I must now leave you to skate away and drift off to sleep.. Hopefully i'll meet up with this chick named Kira and we'll end up here: