Eros/Gaia, Light Tsukuyomi/Tyr, and Tyr/Aphrodite are better than Shiva/Aphrodite/Acala/Behemoth
Michael/Eros is better in certain builds than Shiva/Aphrodite/Acala/Behemoth
Maybe Dark Amon/Azazel/Ouroboros too.
The thing about Shiva/Aphrodite/Acala/Behemoth is that...
Shiva was ok for an SSR at launch, but just gets more and more outdated as the game goes on. (Shiva's the one sitting on sanahtlig's bench, IIRC)
Acala was bad at release, is relatively worse now, gets buffs in the summer, is still bad after buffs, gets awakening at the end of the year, and becomes finally acceptable at her niche. The fact that Acala is one of the few SSRs I've rolled makes me more annoyed with her than if I never rolled her.
So 4 SSRs sound impressive at first, but 2 of them you'd rather not see the light of day! So you're down to 1 kamihime who'd see use and 1 eidolon who's more situational (as opposed to Belial being a 100% in use for a fire team).