NieR: Automata - A Guide to the Enigmatic Letter Unraveled

NieR: Automata's 3C3C1D119440927 DLC unlocks three challenging Colosseums. After receiving the Mysterious Letter, you'll need to locate these arenas to earn unique rewards. Each Colosseum features six ranks with progressively difficult enemies.
Quick Links
Trial of the Sand Colosseum Location
This Colosseum is situated in the desert. From the "Desert: Center" access point, look to the right (facing the desert entrance) for an orange diamond-shaped structure. A machine guards the entrance, but it poses no significant threat. Completing Rank S rewards the Destroyer Outfit (A2).
Gambler's Colosseum Location
Located in the Flooded City, access this Colosseum from the "Flooded City: Coast" access point. Follow the path towards the coast (the same route used to protect the resource ship). At the end, locate a waterfall to the right. Circle around the building to the left to find a Resistance member guarding the entrance. A 1,000G bribe unlocks access to the Gambler's Colosseum. Rank S completion rewards the Revealing Outfit (2B).
Underground Colosseum Location
9S ONLY: This Colosseum is accessible only when playing as 9S.
Starting from the "Forest Zone: Center" access point, follow the left edge of the forest until you encounter machines training near a large waterfall. Pass through the waterfall to access the Underground Colosseum. Completing Rank S rewards the Young Man's Outfit (9S).