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The most irrelevant Pokémon is Stantler. It is the oldest Pokémon that
>Is the only member of its family
>Has no signature move, ability, item, or type
>Receives no special recognition in the games in any way
>Is the most basic type (Normal)
>Has even gender distribution
>Doesn't hold any items in the wild
>Has never really gotten anything notable ever after coming into existence that other Pokémon didn't get
Farfetch'd (evolution once planned, Sirfetch'd SOON, also gets its own special item)
Tauros (male only, got a counterpart with Miltank, Tauros Ride)
Lapras (iconic surfing Pokémon used in many games, Lapras Surf)
Ditto (can reproduce with nearly any Pokémon and learns only one move)
>Legendary Pokémon (should be obvious)
>Girafarig (originally intended to evolve from Twins, once had a unique type combo)
>Dunsparce (highly rare appearance with dedicated swarms)
>Qwilfish (highly rare appearance with dedicated swarms)
>Shuckle (can turn berries into Berry Juice into Rare Candies, once had the highest defenses)
>Corsola (trade for a Bellossom in Gen III, got stat alterations later, targeted by Mareanie)
>Delibird (Silver version exclusive)
>Skarmory (Silver version exclusive)
>Smeargle (can learn any move through Sketch)
>Miltank (female only, made as a counterpart to Tauros and also Whitney's signature Pokémon)