re: Has any movie star ever had the run of John Travolta from 1977-1980?

Lots of good ones mentioned.

Not Harrison Ford, Hanks, or Pacino (70s and 90s runs) level, IMO, but some good 4-year runs:

Ed Norton
-Primal Fear (1996)
Everyone Says I Love You (1996)
The People vs. Larry Flynt (1996)
Rounders (1998)
American History X (1999)
Fight Club (1999)

Sandler (pick your 4-year stretch of classic juvenile humor)
-Airheads (1994)
-Billy Madison (1995)
-Happy Gilmore (1996)
-The Wedding Singer (1998)
- the Waterboy (1998)
- Big Daddy (1999)
- Lil Nucky (2000)

Costner
- off of classic Silverado (1985)
...
- The Untouchables (1987)
- Bull Durham (1988)
- Field of Dreams (1989)
- Dances With Wolves (1990)
Bonus
- JFK (1991)

Damon and Denzel Washington also had some good stretches, which I didn't see