Yes, Basculin and the Chandelure-family also have access to 4 different abilities. Unlike the other two, Basculin can have all its abilities in all games, as it's two forms have different Abilities.
Also, if you count the changing of Mega Evolutions Abilities, several more Pokemon have access to 4 Abilities. These are Chaizard (if you count both forms), Alakazam, Kangaskhan, Pinsir, Mewtwo (of you count both forms), Heracross, Houndoom, Gardevoir, Mawile, Aggron, Manectric, Banette, Absol, Lucario, Pidgeot, Slowbro, Steelix, Sableye, Camerupt, Glalie and Lopunny.
Source:
http://bulbapedia.bulbagarden.net/wiki/Basculin_(Pokémon)
http://pokemondb.net/pokedex/chandelure