All formats implement Species and Sleep Clauses. Also, evasion moves, OHKO moves and Moody are banned in all relevant generations. These will not be listed below because that'd be redundant. If it's convenient, I'll list the moves here though
Evasion and OHKO (gen 1&2): Double Team, Fissure, Guillotine, Horn Drill, Minimize
Evasion and OHKO (gen 3 onwards): Double Team, Fissure, Guillotine, Horn Drill, Minimize , Sheer Cold
Tbh it's probably easier to just say "Ubers are banned" and point them to the appropriate page in the smogdex or whatever, rather than listing all pokemon that are banned, since the smogdex is a much more user-friendly way of displaying that info, even if it means an additional click.
RBY OU
- Freeze Clause
- Cleric Clause
- Banned Pokemon: Mew, Mewtwo
- Banned Moves: Dig, Fly, Psywave
- Tradebacks from GSC are not permitted
GSC OU
- Freeze Clause
- Cleric Clause
- Banned Pokemon: Celebi, Ho-oh, Lugia, Mew, Mewtwo
- SleepTrap ban: having a sleep inducing move and Mean Look or Spider Web on a single moveset is not permitted
ADV OU
- Banned Pokemon: Deoxys (all formes), Groudon, Ho-oh, Kyogre, Latias, Latios, Lugia, Mew, Mewtwo, Rayquaza, Wobbuffet, Wynaut
- Baton Pass clause: Smeargle cannot have both Ingrain and Baton Pass in its moveset
HGSS OU
- Banned Pokemon: Arceus (all forms), Darkrai, Deoxys (all forms), Dialga, Garchomp, Giratina (all forms), Groudon, Ho-oh, Kyogre, Latias*, Latios, Lugia, Manaphy, Mew, Mewtwo, Palkia, Rayquaza, Salamence, Shaymin-S, Wobbuffet, Wynaut
- Banned abilities: Sand Veil, Snow Cloak
- Baton Pass clause: teams are not permitted to have more than one Pokemon with Baton Pass, and it may not be capable of passing Speed and any other stat simultaneously
*Haven't accounted for Latias retest. If people decide they want it to be unbanned, then I guess remove Latias and ban Soul Dew.
BW2 OU
- Banned Pokemon: Arceus (all forms), Blaziken, Darkrai, Deoxys (all forms), Dialga, Genesect, Giratina (both forms), Groudon, Ho-oh, Kyogre, Kyurem-W, Landorus, Lugia, Manaphy, Mewtwo, Palkia, Rayquaza, Reshiram, Shaymin-S, Thundurus, Tornadus-T, Zekrom
- Banned abilities: Arena Trap, Moody, Sand Rush, Sand Veil, Snow Cloak
- Banned items: Soul Dew
- Banned moves: Swagger
- Baton Pass clause: teams are not permitted to have more than one Pokemon with Baton Pass, and it may not be capable of passing Speed and any other stat simultaneously
- Teams are not permitted to combine Pokemon that have the abilities Drizzle and Swift Swim, or Drought and Chlorophyll.
ORAS OU
- Banned Pokemon: Aegislash, Arceus (all forms), Blaziken, Darkrai, Deoxys (all forms), Dialga, Genesect, Gengar-Mega, Giratina (both forms), Greninja, Groudon (including Primal), Ho-oh, Hoopa-U, Kangaskhan-Mega, Kyogre (including Primal), Kyurem-W, Landorus, Lucario-Mega, Lugia, Mawile-Mega, Mewtwo, Palkia, Rayquaza, Reshiram, Sableye-Mega, Salamence-Mega, Shaymin-S, Xerneas, Yveltal, Zekrom
- Banned items: Soul Dew
- Banned abilities: Arena Trap, Shadow Tag
- Banned moves: Baton Pass, Swagger
USUM OU
- Banned Pokemon: Aegislash, Arceus (all forms), Blaziken, Darkrai, Deoxys (all forms), Dialga, Genesect, Gengar-Mega, Giratina (both forms), Groudon (including Primal), Ho-oh, Kangaskhan-Mega, Kyogre (including Primal), Kyurem-W, Landorus, Lucario-Mega, Lugia, Lunala, Marshadow, Metagross-Mega, Mewtwo, Naganadel, Necrozma-DM, Necrozma-DW, Palkia, Pheromosa, Rayquaza, Reshiram, Salamence-Mega, Shaymin-S, Solgaleo, Xerneas, Yveltal, Zekrom, Zygarde-C
- Banned abilities: Arena Trap, Power Construct, Shadow Tag
- Banned moves: Baton Pass