The theme park, in reality Six Flags Over Texas in Arlington, the section of the park is Gotham. Mr. Freeze (the ice blue coaster that goes vertical), Batman: The Ride (the yellow and black coaster) and the Flashback (the red and blue coaster with multiple loops) can be seen through out the scene.
When Dinky Winks first appears, the rollercoaster behind him is the Titan; the tallest and fastest rollercoaster in Texas. Through the park, you can also see the Oil Derrick, the Dive Bomber Alley, the Batman, the Texas Chouteout, the Wildcatter, Mr. Freeze, the Shockwave and the Flashback.
All the rides in this movie in the first scene that are mentioned by name are computer animated. The Whippersnapper is the Oil Derrick at Six Flags Over Texas, with Computer Animated movement, the NerveWracker was the Dive Bomber Alley with Computer Animated movement, the Vomiter and Juggler were both completely animated.
The trivia items below may give away important plot points.
Oscar nominated director, Richard Linklater (Boyhood (2014), Slacker (1991), etc.) and his daughter, Lorelei Linklater have a cameo in the movie. At the OSS banquet, Lorelei and Richard are seen when all the adult operatives have been drugged.