What is the name of the camera feature that can take consecutive shots quickly?

I don't mean for action shots.
I just mean to be able to take one photograph after another without having to wait a few seconds or more before the camera stores the image or whatever it does in between shots.
What is the name of that feature?
I am looking to buy another camera, new or second hand with 16 or more megapixels.
Is there anything under $200 you would recommend?
I would prefer an underwater camera, but it doesn't have to be.
My last camera was a Fuji XP50 which took quite good pictures, but seemed to take forever to be ready to take the next shot.
I already have a GoPro, so I am looking for something that can do good macro pics. I am also a paranormal investigator, so night vision would be a good feature too.
Any suggestions / thoughts?
Thanking you in advance. :-)

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