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This is a guide on some of the strongest skills and strongest persona you can find in Persona 5. The list is based on my own experience with the game so you might disagree with some choices. Overall, I think you can play with any Persona you want and would still be ok as long as you have a good variety of skills.
TL;DW
SETH (51) has One Shot Kill (severe Gun dmg, high critical). Combine with Trigger Happy from Matador (Level 19, learns it at 22) or Hell Biker (Level 39, learns it at 43). For High Counter, fuse Dakini (50) with Pazuzu (43) to get Horus and then perform advanced fusion with Horus (49), Anubis (37), Thoth (36), Isis (26)
Pale Rider (53) learns Megidola at 54 (Heavy almighty damage), Evade Bless (triples evasion) at 57
Skadi (55) learns Repel Ice at 60. Apart from that, nothing special
Yatagarasu (57) learns Mediarahan at 59 (Full Party Heal) and Null Wind at 62 (Nullifies Wind DMG)
TRUMPETER (59) learns Debilitate at 65 (BEST Debuff in the game) and you can itemise it for Debilitate Skill Card
Lilith (60) learns Heavy Ice, Fire and Wind damage to all foes
Melchizedek (60) learns God’s Hand at level 67 (very strong single target Physical skill)
Moloch (60) learns Drain Fire at level 64 (you can inherit it to your personas that are weak to fire)
Nebiros (62) learns Megidolaon at level 68 (Severe Almighty DMG)
Seiryu (62) learns Repel Nuke at level 63
Quetzalcoatl (63) learns Regenerate 3 at 65 (Heals 6% HP every turn).
Yamata no Orochi (64) learns Unshaken Will at 69 (Immunity to all psychological statuses)
BLACK FROST (67) is one of the best personas in a first playthrough. No weaknesses, effective against 4 elements, strong skills and also can inherit Auto-Mataru from King Frost (64), which gives Attack Up to the whole party for 3 turns at the start of each battle. You can also fuse other skills you want into King Frost before making Black Frost
Throne (71) has Invigorate 3 (7 SP recovery per turn)
Mot (72) learns Repel Electric at 77 and is the only persona to have it.
CYBELE (73) is one of the best healers in the game and she learns Absorb Bless at 77. For her weakness to electricity, fuse Mot and any Sun persona around level 39-53 to make a Cybele with Repel Electricity
Mara (73) learns Firm Stance at 78 (No Evasion, but receive Half Damage). I don’t personally use it, but I put it in the list in case someone wants it
Abaddon (74) learns Drain Phys at 79 and Gigantomachia at 80 (very strong multitarget physical skill)
Baal (75) learns Ayamur at 80, a way stronger version of Miracle Punch and is the only Persona to have it (and you can’t inherit it to other Personas)
Ongyo-Ki (75) learns Arms Master at 77 (Half HP cost for Phys skills), but needs MAX Confidant Rank with Futaba. In case you don’t meet that requirement, Raphael (78) learns it at 83.
Raphael (78) also learns Heat Riser at 80 (ATK/DEF/AGI Buff to one ally)
Sandalphoon (75) learns Angelic Grace at 77 (Doubles Evasion against all elemental magic), but needs MAX Confidant Rank with Mishima. In case you don’t meet that requirement, Sraosha (80) learns it at 83
Futsunushi (76) has Ali Dance, which halves hit rate of all attacking enemies (works for entire party), but needs MAX Confidant Rank with Morgana (story-related, happens towards the end of the game). In case you don’t meet that requirement, Gabriel (77) learns it at 79
Kohryu (76) learns Spell Master at 82 (Half SP costs), but needs MAX Confidant Rank with Sojirou. In case you don’t meet that requirement, Uriel (81) learns it at 86
Kali (77) learns Drain Nuclear at 82, the only persona to learn it naturally
ALICE (79) is one of the best Magic Personas. She starts with very high stats in magic and agility, learns Megidolaon and Concentrate. Her only weakness is Bless, so fuse Cybele into either Nebiros or Belial and then inherit Absorb Bless. Needs MAX Confidant Rank with the Doctor
YOSHITSUNE (79) is one of the best physical damage dealers in the game. High Strength and is the only persona who can learn Hassou Tobi (Level 86, Deal 8 times weak damage to all enemies). You need MAX Confidant Rank with Morgana because one of the ingredients is Futsunushi (Magician)
I am stopping here, there are still strong Personas beyond level 80 but if you’re going that deep I don’t think you will need my help anyway. I have covered almost all of the best skills in the game anyway and there aren’t many skills that are obtainable only from Personas beyond level 80
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