The Freemasons / The Order of the Eastern Star (mostly focused on economics and politics, but they do use magic — Eastern Star is the female-only affiliate org of the male-only Masons)
Ordo Templi Orientis (Aleister Crowley's "Thelemites")
The Hermetic Order of the Golden Dawn (primarily American, in contrast to the European Golden Dawn which is also occult but iirc more pro-fascist)
The Rosicrucian Society (began in Europe but enjoyed greatest popularity in Latin America — much like Catholicism, whose symbolism it often syncretises)
Santeria (a real life syncretistic religion, which to my understanding was developed by African-Americans striving to hold onto their own religious traditions while enslaved)
Discordianism (a joke religion / "real" religion comprised primarily of jokes invented by two Americans in the late 1960s on an acid trip)
LaVeyan Satanism (a real but not very popular religion which explicitly teaches the use of occult magic)
The Satanic Temple (a real but explicitly atheist organization — in-universe they could easily be affiliated with SAPPHIRE)