here is a thread of some horror/thriller opening studio logos that are tailored to the movies!

The Ring (2002)
the D in Dreamworks superimposes into a Ring

Zombieland: Double Tap (2019)
the Columbia Pictures lady fights off zombies

The Grudge 2 (2006)
the Columbia Pictures lady morphs into Kayako

The Final Destination (2009)
New Line Cinema 3D logo

Happy Death Day (2017)
Universal logo starts over and over, poking fun with the movie plot

Happy Death Day 2U (2019)
Universal logo time loop

IT (2017)
Warner Bros, New Line and Rat Pac discolored logo, red balloon, thunder and raining effect

Unfriended (2014)
distorted Universal logo

Unfriended: Dark Web (2018)
distorted OTL, BH Tilt logo

Crimson Peak (2015)
gloomy and red Universal logo

Event Horizon (1997)
Paramount Pictures pan up into space

Dead Silence (2007)
1930s black and white Universal logo

last one on my list
The Conjuring (2013)
dark and gloomy Warner Bros/New Line logo with the iconic movie score