Unaware

If a Pokemon with the ability Unaware is the target of an attack, all of the attacker's [Special] Attack boosts are ignored. If a Pokemon with the ability Unaware is attacking, all of the defender's [Special] Defense boosts are ignored. If an Unaware Pokemon is using Punishment, stat boosts still factor into its power. If an Unaware Pokemon hits itself in its confusion, it still keeps its altered Attack and Defense stats.

Found normally

Pokémon	Type	Tier	Abilities	HP	Atk	Def	SpA	SpD	Spe	BST
Bibarel	Normal / Water	NU	Simple / Unaware / Moody	79	85	60	55	60	71	410
Bidoof	Normal	LC	Simple / Unaware / Moody	59	45	40	35	40	31	250
Swoobat	Psychic / Flying	NU	Unaware / Klutz / Simple	67	57	55	77	55	114	425
Woobat	Psychic / Flying	LC	Unaware / Klutz / Simple	55	45	43	55	43	72	313

Found in Dream World

Pokémon	Type	Tier	Abilities	HP	Atk	Def	SpA	SpD	Spe	BST
Clefable	Normal	RU	Cute Charm / Magic Guard / Unaware	95	70	73	85	90	60	473
Quagsire	Water / Ground	NU	Damp / Water Absorb / Unaware	95	85	85	65	65	35	430
Wooper	Water / Ground	LC	Damp / Water Absorb / Unaware	55	45	45	25	25	15	210