"There are roughly 1600 different species of Spider Mites which are part of the Acari Mite family."
Here are some popular predators:
Feltiella acarisuga
Target: Various species of spider mites. SPIDEND is recommended especially when spider mites occur in colonies.
Amblyseius cucumeris
Target : Various thrips species. Hatching eggs and the first larval stage. Predatory mites also eat spider mites (f.e. strawberry mite, broad mite), several other mites, honeydew and pollen.
Amblyseius californicus
Target : Two spotted spider mite (Tetranychus urticae) and fruit tree red spider mite (Panonychus ulmi). All stages, preferring younger stages. Predatory mites also survive on other mites and pollen and can survive for a number of weeks without food.
Phytoseiulus persimilis
Target : Two spotted spider mite (Tetranychus urticae). All stages, preferring younger stages. The predatory mite can only survive on two spotted spider mites (Tetranychus spp.).
...so depending on your mites. Feltiella acarisuga is a good general choice.
There is also a product called "No Spider Mites". It's expensive but it works great...
far better than Neem oil, and it kills the eggs too.