PokéBase - Pokémon Q&A
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I don't mean simply same total. I mean each species in the group have the same value in every single base stat. The only ones I know are Glalie/Phione, Cascoon/Silcoon, and Xerneas/Yvetal. Don't include legendaries with 100 all around because those are obvious.
EDIT: Sorry for the misunderstanding. I don't mean individual species that have the same value for all the base stats. I wanted groups of two or more Pokemon that have the same stats, like how Silcoon and Cascoon both have 50 hp, 35 attack, 55 defense, 25 SpA, 25 SpD, and 15 speed. Again, sorry.

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Oh wait never mind
Mew, Celebi, Jirachi, Shaymin, Manaphy, and Victini share the same base stats.
I think the only ones with the same stat across the board is Arcues, with 120, Mew / Celebi / Jirachi / Manaphy / Shaymin (Land) / Victini with 100, and Phione / Glalie with 80. I dunno if that's all though.
This would take a VERY LONG time to answer
This is the biggest communication error I made so far on Pokebase.

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After staring at Pokemon stats for like forever... ;~;

  • Xerneas / Yveltal: 126/131/95/131/98/99
  • Mew, Shaymin, Victini, Jirachi, Celebi: 100/100/100/100/100/100
  • Glalie/Phione: 80/80/80/80/80/80
  • Charizard/Typhlosion: 78/84/78/109/85/100
  • Simisage, Simipour, Simisear: 75/98/63/98/63/101
  • Charmeleon/Quilava: 58/64/58/80/65/80
  • Silcoon/Cascoon:50/35/55/25/25/15
  • Pansage/Pansear/Panpour: 50/53/48/53/48/64
  • Rotom-Fan, Rotom-Heat, Rotom-Wash, Rotom-Mow, Rotom-Frost: 50/67/107/105/107/86
  • Charmander/Cyndaquil: 39/52/43/60/50/65
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You just HAD to include Mew, didn't you?
Oh, and you forgot Spinda and Snorunt.