You can check their effects on the menu screen, but there isn't a comprehensive list around. From the looks of it, they changed the mechanics from the originals, since now Thunderwave is a move that sets up for an appeal combo when it didn't used to.
I actually started a spreadsheet for Normal type moves would it be good too make a thread where we can put together contest moves?
I was thinking of a general research thread for both Pokeblocks and moves. As far as I can tell, the blocks are weaker than in the originals, but the upper limit is higher (if not non-existent). This is supported by the lack of "feel" status on Pokeblocks. The lack of level makes me think all Pokeblocks of the same type have the same power (Pokeblock, Pokeblock+) as well.
So far, I've managed to make Rainbow Pokeblocks (use all different colors) and a Pokeblock+. The latter, I'm not sure how, but I am thinking it involves at least two blocks of the same color, but berries of different rarity, and two blocks that are different. Not sure if the other two have to be complimentary or antagonistic flavors.
Right now I am just enjoying the game, but when I have time, I do wish to study the Pokeblock mechanics.