I've never booted up the original tent for new in this collection, so I wouldn't know what in the way of cheats it may or may not have. However, the collection does offer the ability to rewind gameplay 5-10 seconds (I think) so you can muck your way through the game after some effort.

and the 2 arcade games offer a GOD MODE which makes it so you never die

Pretty much the only cheats available are the tools implemented into the ROM emulator:

You can rewind time back to like 10 seconds before whatever you were doing.
You can save at any point and time and infinitely save-scrub, but you only get one save slot.
HIGHLY recommend turning off flicker and slowdown - lovely for nostalgia but also the game is far better without it.