May be difficult to find something like that. Depends how you define "highly effective against most Pokemon". Brings up Manectric as an example. Denoted highest move power next to it.
- Manectric's Special Attack types: Electric (110), Normal (150), Dark (55), Fire (130)
- Manectric's Physical Attack types: Fire (65), Normal (150), Dark (80), Electric (90), Ice (65), Steel (100), Psychic (85)
Sports a much wider physical movepool (with Ice, Steel, and Psychic). Hits a lot of Pokemon super-effectively. Backs it up with only 75 base Attack, however. Requires very lopsided enemy defenses to shine.
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Status: Expects almost every Pokemon to have a self-buff (like Growth, Withdraw, and Foresight)
or enemy debuff (Growl, Tail Whip, Sand Attack, Scary Face) purely in level-up moves, barring some gimmick Pokemon. Hands out status conditions to a lot via Thunder Wave (and maybe Will O Wisp). Bets on Psychic-types and support Pokemon having more self and team buffs between Reflect, Light Screen, and Ally Switch.
Remains largely speculation, however. Never found it practical to focus on quantity. Looks for what moves are good and who gets them. Prefers a support Pokemon with Charm and Thunder Wave over one with Tail Whip, Sand Attack, Growl, and Scary Face. Depends on other factors too, such as with Aurora Veil on anyone except Alolan Ninetales.