Extended Phasing (ZZ)
Probably not new, but I'll mention it anyway:
On insertion of the final C+E Pair of ZZ F2L, solve LL edge permutation, to allow finish with non-edge permuting COLL. Setting up edge permutation can be done with 2-gen algs.
Normal phasing (i.e. permuting two opposite edges) can be done quite easily using the sexy move (R U R' U'). Do it, by keeping the FR C+E pair in the front-left of the U-layer, then apply the sexy move until the UL edge is opposite the correct edge in UR, then insert the pair using U R U2 R'.
To convince you all algs can be 2-gen: If you have a cube with phased (but not correctly permuted) LL edges, they can be fixed using this long, but pretty nice 2-gen alg: R U2 R2 U2 R' U2 R U2 R' U2 R2 U2 R
After that, its non-edge permuting COLL and yer done
I don't know how many algs are required to do this in one look, or how many moves are required on average, but it might be worth checking out if interested in phasing, but don't immediately want to learn all 80 ZZLL algs.