Leves, Daily Hunts, FATES, Challenge log, Duty Roulette, Dungeon spam, Sidequests. If thats not enough to get you 1 level then I duno what to tell you.
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I'm currently working on leveling my 4th job up to 60 and I have never grinded FATEs.
For my main job (BLM) I made use of MSQ + Sidequests + Available DR (High-level, Leveling, Main Scenario, Trial & Guildhest) + Last dungeon unlocked + Challenge Log. For the rest I'm using just the same except MSQ and occasional sidequests still available at some levels (57-58 in my case). From time to I use some leve allowances for Temple Leves or even normal levequests.
Features are there for you to make use of them; increasing sidequests exp reward is not necessary at all.
Hinterlands ftw 50k xp per fate
Never done high levels dungeons (havent had it unlocked)