Setting aside the major film franchises like Star Wars, Back to the Future, Harry Potter, Indiana Jones, etc., these would be some of my favorites:
The Thirty-Nine Steps (1978 remake), starring Robert Powell and David Warner.
Invasion of the Body Snatchers (1978 remake), starring Donald Sutherland and Jeff Goldblum.
The Shining (1980), with Jack Nickolson and Shelley Duvall.
Somewhere in Time (1980), with Christopher Lloyd and Jane Seymour.
Time Bandits (1981), with Tom Cleese, Sean Connery, and David Warner.
16 Candles (1984), with Molly Ringwald and Anthony Michael Hall.
Pee-Wee's Big Adventure (1985), with Paul Reubens and Elizabeth Daily.
Desperately Seeking Susan (1985), with Rosanna Arquette and Madonna.
The Princess Bride (1987), with Cary Elwes, Mandy Patinkin, and Robin Wright Penn.
Untouchables (1987), directed by Brian De Palma, with Kevin Costner and Sean Connery.
Three O'Clock High (1987), with Casey Siemaszko and Jeffrey Tambor.
Goodfellas (1990), directed by Martin Scorsese, with Robert De Niro, Ray Liotta, and Joe Pesci.
My Cousin Vinny (1992), with Joe Pesci and Marisa Tomei.
Jurassic Park (1993), with Sam Neil, Laura Dern, and Jeff Goldblum.
Pulp Fiction (1994), directed by Quentin Tarantino, starring John Travolta and Samuel L. Jackson.
Shawshank Redemption (1994), with Tim Robbins and Morgan Freeman.
Desperado (1995), directed by Robert Rodriguez, with Antonio Bandaras and Salma Hayek.
Strange Days (1995), with Ralph Fiennes and Angela Bassett.
Fargo (1996), with William H. Macy, Steve Buscemi, and Frances McDormand.
Bound (1996), with Jennifer Tilly and Gina Gershon.
Titanic (1997), with Leonardo DiCaprio, Kate Winslett, and David Warner.
Run Lola Run (1998), with Franka Potente.
The Parent Trap (1998), with Lindsey Lohan and Dennis Quaid.
Dogma (1999), directed by Kevin Smith, with Ben Affleck and Matt Damon.
The Matrix (1999), with Keanu Reeves and Laurence Fishburne.
Galaxy Quest (1999), with Tim Allen and Alan Rickman.
Election (1999), with Matthew Broderick and Reese Witherspoon.
Mulholland Drive (2001), directed by David Lynch, starring Naomi Watts and Laura Harring.
Bridget Jones' Diary (2001), with Renee Zellweger and Hugh Grant.
Moulin Rouge (2001), with Ewan McGregor and Nicole Kidman.
Kill Bill, Vols. I-II (2003), directed by Quentin Tarantino, with Uma Thurman and David Carradine.
Master and Commander (2003), with Russell Crowe and Paul Bettany.
Napoleon Dynamite (2004), with Jon Heder and Jon Gries.
United 93 (2006), with Christian Clemenson and Cheyenne Jackson.
The Dark Knight (2008), with Heath Ledger and Christian Bale.