Role: Physical Sweeper
Archeops @ Life Orb
Ability: Defeatist (Yeah nice name, we have to defeat this ability)
EVs: 4 HP / 252 Atk / 252 Spe
Adamant / Jolly Nature
- Rock Slide / Stone Edge
- Crunch
- Earthquake
- Roost
Explanation: Rock Slide/Stone Edge for STAB and depends on which one you prefer: lower power, chance to flinch or higher power, increased critical hit ratio but lower accuracy and PP. Crunch is for coverage and its power is decent (BP 80) and covers Ghost and Psychic, while Earthquake has high power and covers Poison, Rock, Steel, Fire and Electric types. Roost is there to recover health, especially when considering Archeops' ability. However, this moveset doesn't have a Flying type move since all Flying type moves Archeops can learn have a maximum of BP 60, which isn't particularly high (since Acrobatics only doubles to 110 when there isn't a held item) so perhaps you may want to remove Crunch (which is simply to cover more types) for a Flying type move like Aerial Ace. Powerful Physical Flying type moves like Brave Bird can't be learned be Archeops, if I'm not mistaken.
Role: Physical Sweeper
Archeops @ Flying Gem
Ability: Defeatist
EVs: 4 HP / 252 Atk / 252 Spe
Jolly Nature (+Spe, -SpA)
- Acrobatics
- Rock Slide / Stone Edge
- U-Turn
- Earthquake
Explanation: This is a moveset I have seen very commonly amongst the answers, and I agree something like this, with a little variation, is good too. Acrobatics, as a lot of the answers have mentioned, will get STAB and power boost from Flying Gem (activates before using the move) as well as a BP of 110 since there is technically no item, which all adds up to an impressive BP of 247 (math calculated by Carver47). Even after the gem is consumed, Acrobatics gets a BP 110 since Archeops no longer holds any items, which can be both good and bad. Rock Slide/Stone Edge is STAB and depends on your preference: lower BP with chance to flinch or higher BP, lower accuracy and heightened critical hit ratio. U-Turn to make a quick getaway as well as coverage (against Grass, Psychic and Dark) and Earthquake for coverage as well (against Poison, Rock, Steel, Fire and Electric).