Pitfall: The Lost Expedition has quicksand swamps in the Native Jungle, Mouth of Inti, Renegade Fort, and the Abandoned Caverns, where one of them leads to a secret area. As for shallow mud pools, most of which house crocodiles, they're scattered across many areas within the game. I have compiled a
montage of these scenes for you guys to be able to enjoy them as much as possible. One weird yet hilarious thing regarding the game is that even if you play as Nicole, Harry's voice/responses still remain intact.
In addition to the many instant-death tar/quicksand pits in
Pitfall: The Mayan Adventure, Tikal Ruins has a sinking pool that you can wade through. Also, said pool can be escaped from by simply mashing the jump button.