Compatible
Bards Reborn Bardic Lore (area where the scriptorium is placed is clear)
Citizens of Tamriel (reported compatible)
Extravagant Interiors (reported compatible)
Khajiit Will Follow (reported compatible)
Lux as of version 1.7 (flooring was adjusted to sit in line with settings in the LUX mod)
Immersive Citizens as of version 2.0
Misc Dialogue Edits (fully compatible, edits none of the same files)
More Dialogue Options (fully compatible, edits none of the same files)
More to Say (fully compatible, edits none of the same files)
Ordinator Perks of Skyrim (fully compatible, edits none of the same files)
Relationship Dialogue Overhaul (integrated changes into V 3.1)
Skyrim's Got Talent (fully compatible,doesn't edit any of the same files so both can be used) CloudQuest has a bridging patch here
Skyrim Sewers (fully compatible, area with the entrance was left clear to avoid overlapping)
Skyrim Unique Treasures (fully compatible, items are not overlapping)
The Great City of Solitude (fully compatible, doesn't edit the Bards College)
Vilja in Skyrim (fully compatible, fully compatible)
Most visual NPC overhauls should all be fine if they are only character appearance

Minor Issues Requiring Disable Console Command
Distinct Interiors (small overlaps reported)

Incompatible
Any other Bards College makeover without patches

Current Patches on Files page
Bards Reborn ELFX Patch for V 3.3
Bards Reborn RLO Patch for V 3.0 and up
Undeath for V 3.3 (removes fireplace and paintings)
Snazzy for V 3.0 and up (disables some paintings added by Snazzy's mod)
Enhanced Solitude (Moves items on Viarmo's desk)
USSEP Patch
AI Overhaul (defaults to AI Overhaul changes)

Patches Available from other creators
Kaidan 2: https://www.nexusmods.com/skyrimspecialedition/mods/50201
Interesting NPCS: https://www.nexusmods.com/skyrimspecialedition/mods/50201
Legacy of the Dragonborn: https://www.nexusmods.com/skyrimspecialedition/mods/50201