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coan.net: While I agree that a new setup of the boards is something to desire, I don't think your suggestion makes sense. In fact, I rather prefer the current setup over your suggestion.
IMO, related games ought to share a board, games that are not, or just vaguely related should not share boards.
Your suggestion splits a large class of related games (checkers) into 2, purely based on board size, and adds in totally unrelated games (breakthrough/halma).
If I were to split up the boards, I'd give the checkers variants the following boards:
Checkers
International Checkers, Czech Checkers, Russian Checkers, Canadian Checkers, Thai Checkers, Brazilian Checkers (they all have related rules, and have queens, not kings)
Gothic Checkers, Turkish Checkers (checkers variants that use all the squares on the board)
Anti Checkers, Corner Checkers, One Way Checkers, Parachute Checkers (variants)
Alquerque, Hawaiian Checkers (very different rules than checkers; perhaps Hawaiian Checkers shouldn't even be listed as a Checkers variant)
If traffic is low enough, one might want to combine boards 3 & 4, and maybe 1 & 2.