Shiva, Ramuh, Diabolos, Fenrir are the ones that stick out to me just off the top of my head, I'm sure there's more as well that I just haven't thought of that can be considered "epic" or "strong" primals for summoner that are not linked to beastmen gods.

basically the only ones summoner wont have access to are Ifrit, Garuda, Titan, Leviathan. Everything else is fair game