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Gen 6 was very kind to Normal-types, despite turning quite a few of the better ones into Fairies...
Diggersby, Pyroar, and Heliolisk make for a great team core. You'll need at least one Flying-type, probably, and from there you have a lot of fun options, depending on the metagame you're playing: Smeargle, Blissey/Chansey, Porygon2, Furfrou, Lopunny, Snorlax, Slaking, Kangaskhan... even things like Wigglytuff and Audino become useful at times, due to Fairy typing.
Normal has a lot of great options. Watch out for Conkeldurr and other Fighters, especially ones with Mold Breaker.
