Man Without Equal achievement in Sekiro: Shadows Die Twice
Mandatory bosses are marked plainly as you will encounter them while playing through the game. Bold so there's no guessing required. Missable bosses have a location/conditional description. These are roughly in chronological order.
Gyoubu Oniwa Mandatory
Lady Butterfly (missable - hirata estate)
Genichiro Ashina Mandatory
Guardian Ape Mandatory
Folding Screen Monkeys Mandatory
Corrupted Monk Mandatory
Headless Ape (missable - Ashina Depths in the room immediately after the poison pool, must defeat guardian ape prior to encountering...mortal blade not required for some reason)
Great Shinobi - Owl Mandatory - in all non-Shura endings
Corrupted Monk - True Monk Mandatory - in all non-Shura endings
Divine Dragon Mandatory - in all non-Shura endings
Demon of Hatred (missable - Ashina Outskirts near the original gate pathway idol, only appears when the sculptor leaves after the castle is on fire in the end-game of non-Shura endings)
Sword Saint Isshin Mandatory - in all non-Shura endings
Owl (Father) (Mandatory for Purification ending, can also be encountered, although not mandatory, while doing Immortal Severance and Return endings if criteria for Purification are still met)
Emma, the Gentle Blade + Isshin Ashina Mandatory - in Shura ending only