So nobody else take it, OK? I called dibs.
Exotic life: Martian. Ok, extrasolar. Not carbon-based. Sure. Digital life. Digital life existing in primordial organic compound soup Turing machines, check. Inter-dimensional life beyond our comprehension, boring, but OK, whatever.
All been done before.
What about quantum life?
By necessity, it would exist at some extreme where entanglement is just damn hard to break, like around absolute zero. Get a couple of Hamiltonians in there that happen to be good at propagating themselves, get them to interact. Bam. Intelligent life in a puddle of liquid helium.