Companions opens most features later than Classic does (the Guild at 3-16 instead of 2-20) and adds its own, like the beasts and the Vault of Time. These are the stages the game checks. Where a feature opens in parts, the later stages are listed under it.
Where are you?
Every unlock
Battle SpeedStage 1-1
Duo Co-opStage 1-1
Fight of FatesStage 1-1
Gear EnhancementStage 1-1
Fast RewardsStage 1-12
RanhornStage 1-12
Rickety CartStage 1-12
Temple of AscensionStage 1-12
The Noble TavernStage 1-12
MedalsStage 2-1
Resonating CrystalStage 2-4
Beast EncyclopediaStage 2-8
Beast GroundsStage 2-8
Ascend BeastsStage 2-16
LibraryStage 2-16
Guild GroundsStage 2-20more at Stage 7-40
Dark ForestStage 2-24
King's TowerStage 2-24
Arena of HeroesStage 2-28more at Stage 3-36
Dura's TrialStage 2-28
Game AcceleratorStage 2-28
MerchantsStage 2-28
StoreStage 3-4
Bounty BoardStage 3-12
GuildStage 3-16
AchievementsStage 3-36
Arena StoreStage 3-36
Wall of LegendsStage 4-28
The Oak InnStage 5-1more at Stage 17-40
Peaks of TimeStage 5-4more at Stage 27-60
Trading HubStage 5-4
Destiny SummonStage 5-40
ArtifactsStage 6-4
Twisted RealmStage 6-4more at Stage 12-40
Historic VenturesStage 6-8
Voyage of WondersStage 6-8
4x Battle SpeedStage 6-40
Arena of TrialsStage 6-40
Combine BeastsStage 6-40
Vault of TimeStage 8-40
Legends' Challenger TournamentStage 9-20
Abyssal ExpeditionStage 9-40
Beast WishStage 9-40
ExpeditionStage 9-40
Temporal BeaconStage 9-40
Temporal RiftStage 9-40
Faction TowersStage 10-24
Heroes of EsperiaStage 11-40
Artifact enhancementStage 13-40
Misty ValleyStage 17-40
Game Accelerator x6Stage 19-40
Replace HeroesStage 19-40
Upsurge PursuitStage 19-40
Treasure ScrambleStage 24-60
Arcane LabyrinthStage 26-60
Auto BattleStage 35-60
Celestial & Hypogean TowersStage 61-60