I have seen puzzles that are drawn visuals. Someone told me that it involves deciphering the image and finding the meaning. Here's 3 examples of it:
These are Droodles, created by comedian Roger Price. They're not puzzles so much as jokes - the "answers" are supposed to make you laugh rather than be genuinely figured out.
The generic term for this picture puzzle type is rebus.
Even though these particular pictures may have been intended as silly picture jokes, there are perfectly reasonable rebus solutions for the first two at least:
Spring is just around the corner
A pointless question