Portico

The Portico Method is a 3x3 speedsolving method created by Matt DiPalma before 2017. It is derived from the ZZ Method, and the two share very much in common. The main difference is that ZZ's EOLine is replaced by EODB (the DF edge is omitted). Then, for the duration of the solve, the user is free to use F2 moves and the M'(U)M moves to solve F2L (which increases blockbuilding efficiency). The third step is COLL (42 algs). The final step is L5EP (16 algs), which solves all 4 LL edges and DF.
Comparison with ZZ
ZZCOLL/EPLL  Portico  Verdict  

EOstep  6.1 htm  5.3 htm  Portico 15% more efficient, easier inspection 
F2L  19.0 htm  18.4 htm  Portico 3.3% more efficient, but F2 moves 
Corners  12.08 htm  <12.0 htm  Portico slightly more efficient/ergonomic 
Edges  6.75 htm  7.22 htm  ZZ 7% more efficient, 12 fewer algs 
Total  44 htm  43 htm  Portico more efficient and easier inspection 
Algs  46  58  ZZ has 12 fewer algs 
Portico features easier inspection and superior blockbuilding to normal ZZCOLL/EPLL. Omission of the DF edge also accommodates more ergonomic CxLL algorithms. This of course, comes at the expense of 12 additional ExLL algs. However, many of these algs are short (M' U2 M) or memorable (M' Hperm M). See the references for the algorithm list.
Extras
For users that do not wish to learn the Sune/Antisune COLLs but know all 21 PLLs, the OCDFLL algorithm set will be useful. As an alternative to the CxLL step, it will orient all LL corners and insert the DF edge, leaving PLL as the final step. There are 8 cases with fairly ergonomic algorithms, and they are compiled in the References, below.