Gogoat

[Horkus]

Tried breeding it with Sawsbuck, megahorn is sadly not available as an egg move.

 

[Millions]

Rollout is an egg move from Chespin.

 

[Shroomisaur]

Rollout eh? Well, at least that's something.

Gogoat does not learn Fire Fang, Thunder Fang, Crunch, Reversal, Agility, or Extremespeed as egg moves (tested with Arcanine and got nothing).

 

[JL_muserwolves]

Bred with Sawsbuck as well, confirming that Jump Kick, Aromatherapy, Feint Attack and Camouflage are not egg moves.

Edit/update: Just bred with Leafeon and can also confirm that Grass Whistle, Swift, Quick Attack and Refresh are not in the egg movepool either.

 

[Kalyst]

Don't know if anyone tested it or cares, but Gogoat can not get Grassy Terrain (which made me pretty sadfaced). Breed with a Smeargle that sketched Grassy Terrain, but nothing.

 

[Layell]

Defense Curl and Milk Drink are apparently egg moves, need to confirm.

 

[atsync]

Milk Drink and Defense Curl confirmed. I used Smeargle for this one.

Proof