One of the most iconic studio logos belongs to Universal Studios.  So here is a brief history of the logo and some fun film variations.

Universal Logo (1937-1946)
Fanfare by Jimmy McHugh/arrangment by Frank Skinner

Universal Logo (1946-1964)
As seen in To Kill a Mockingbird (1962)

Universal Logo (1963-1990)
As seen in Jaws (1975)

Universal Logo (1990-1997)
Fanfare by James Horner
Featured 75th anniversary text (1990-91) and incorporated previous logos
First seen on Back to the Future: Part III (1990) 

Universal Logo (1997-2012)
Fanfare by Jerry Goldsmith
First seen on The Lost World: Jurassic Park (1997) 

Universal Logo (2012-Current)
Fanfare by Jerry Goldsmith/arranged by Brian Tyler
From 2012-2013, it featured the 100th anniversary text
First seen on The Lorax (2012)

And now onto some fun variations:

Waterworld (1995) - Zooms into the water-covered globe

The Flintstones in Viva Rock Vegas (2000) - Just like Flintstones (1994) the prehistoric Univershell appears over Pangea.

E.T. the Extra-Terrestrial (2002 20th Anniversary) - Combined with John Williams' ET theme for the film's anniversary live concert.

2 Fast 2 Furious (2003) - Logo turns into silver car rim with hydraulic sounds

The Cat in the Hat (2003) - Specially animated Seussified version

Van Hesling (2004) - Black and white logo lights on fire and transitions to a torch

Inglorious Basterds (2008) - An updated throwback to the past

Scott Pilgrim vs the World (2010) - Animated in video game style with an 8-bit fanfare arrangement

Pitch Perfect (2012) - Fanfare sung acapella by the characters - recreated also on the sequels

Minions (2015) - Fanfare sung by the Minions, continuing into the Illumination logo 

Krampus (2015) - The logo is tinted turquoise and is frosted over

The House with a Clock in Its Walls (2018) - Another updated throwback

Happy Death Day 2U (2019) - Just like the first film's looping logo, simultanous logos start before they converge