These hexagonal rules are all two state rules, as is Conway's Game Of Life. The HexLife rule is from David G. Ballinger's HexLife. The Bays rules are from Carter Bays' Game Of Life in the Hexagonal Grid.
Some qualifiers for a good hexagonal analog of Conway's Game Of Life: Static patterns (still lifes) Stationary dynamic patterns (oscillators) Moving dynamic patterns (gliders) Naturally occurring patterns - patterns should result from random starts Longetivity - many generations may be required before the outcome is known.
Interactive exhibits of the following Hexagonal Life like cellular automata rules: George's Hexagonal Life, George's Hexagonal Long Life, George's Hexagonal Long Life #2, Slowpokes, Blocks, Spinaroonies, Triangle Life, Puffers, Zap Life, Hex Life On The Web, Six Neighbor Brainsheets, Fillers, Pavers, Dancing Clouds, Hexagonal Packing, Hexagonal Yin-Yang Fire, 1 Out Of 6, 2 Out Of 6, 1 Out Of 12, 12 Neighbor Hex Parity, HexLife, Six Neighbor HexLife Like, Bays' 3/2, Bays' 3,5/2, Bays' 3,5,6/2, and Bays' 3/2,4,5.