Really? I've done a dozen and in every single one, you could simply exit back from the door you entered from. The rooms were never truly about "escaping", at least past the lore and story. They are about searching for clues and solving puzzles. I've never been in one where we were explicitly locked inside. Generally you just make your way through and exit out a different door at the end.
> One survey of escape rooms by Scott Nicholson of the Wilfrid Laurier University in Canada found that in 43% of European escape-room players, once locked in, are dependent on staff outside the room. Some venues in eastern Europe even handcuff escapees to the scenery, as part of the challenge.
https://edition.cnn.com/2019/01/04/europe/teens-die-poland-e...
Currently in Poland authorities starting to look into possible regulations to make escape rooms safer
Edit: Not sure why downvoted, I'm genuinely curious of this person's experience. Is asking not allowed?
A constraint solving problem where you had a map with a grid and various clues gave you constraints like 'not within 2 squares of a bomb shelter'
A thermal imaging camera so you could detect which one of a set of 'sample containers' was warm and you should use the code printed on it elsewhere.
Combination locks where the combinations were given by giving the element names and you had to enter the atomic number (a table was on the wall)
A sequence of puzzles which unlock the next step.
Puzzles like the code lock may be numeric, you may find a clue to the code as a sequence of colors, which you have to find the color key for (maybe it is split into parts and hidden around the room).
Sometimes it's as simple as finding a key. e.g. in the pocket of a coat hanging on the wall, or a note inserted into a book on a shelf. (Tearing the room apart to find objects is usually the best strategy!)
Some puzzles get a bit more clever than this but these are usually the foundation elements.