All 6-move edge 5-cycles:
U R U' D B' D' (6f*)
U R L' B' R' L (6f*)
U R' U' D B D' (6f*)
U R' L F' R L' (6f*)
U F U' D R' D' (6f*)
U F B' R' F' B (6f*)
U F' U' D R D' (6f*)
U F' B L' F B' (6f*)
U D' R U' D B' (6f*)
U D' R' U' D B (6f*)
U D' F U' D R' (6f*)
U D' F' U' D R (6f*)
U D' L U' D F' (6f*)
U D' L' U' D F (6f*)
U D' B U' D L' (6f*)
U D' B' U' D L (6f*)
U L U' D F' D' (6f*)
U L' U' D F D' (6f*)
U B U' D L' D' (6f*)
U B' U' D L D' (6f*)
U' R U D' F' D (6f*)
U' R L' B R' L (6f*)
U' R' U D' F D (6f*)
U' R' L F R L' (6f*)
U' F U D' L' D (6f*)
U' F B' R F' B (6f*)
U' F' U D' L D (6f*)
U' F' B L F B' (6f*)
U' D R U D' F' (6f*)
U' D R' U D' F (6f*)
U' D F U D' L' (6f*)
U' D F' U D' L (6f*)
U' D L U D' B' (6f*)
U' D L' U D' B (6f*)
U' D B U D' R' (6f*)
U' D B' U D' R (6f*)
U' L U D' B' D (6f*)
U' L' U D' B D (6f*)
U' B U D' R' D (6f*)
U' B' U D' R D (6f*)
I looked deeper into them, and found that there are 3 types of "algorithms":
1. S F S' F'
2. F S F' S'
3. Conjugated S F S' F'
(S = quarter slice turn; F = quarter face turn, which obviously cannot be parallel to S)
The first two are pretty straightforward. I found the third one pretty interesting, I'll describe it with an example:
U D' R U' D B' is a Type 1 "algorithm". Using D as a setup move, we get D (U D' R U' D B') D' = U R U' D B' D', which is a Type 3 "algorithm". That's it, that's what all the Type 3 algs are.
I doubt knowing 5-cycles are gonna be very useful in FMC, but at least knowing all the 6-movers can turn a nasty situation into a very nice one if you're lucky enough