What have you found so far? It would be helpful to know so folks don't try to give you sites you have already seen.

Also, where in general are you? While some insects seem to be everywhere, there are a lot that are more specific to regions or areas.

Part of the problem with a comprehensive data base is that it would include thousands (maybe 10's of thousands) of beneficials. For that reason, they are often grouped together as families, like predatory beetles or flies, mirids, etc. and there can be hundreds of different species involved with each grouping. There are 4000 or so species of aphids alone! And as noted, some will be very location specific.

I like this website, both for the photos and the descriptions of the bugs and their life cycle and feeding preferences: Attracting Beneficials

I live in zone 8b, Southeast Coastal Georgia. I see the difficulty of a comprehensive chart. The website listed above seems like a good starting point. I wonder if my County Extension service might have some info that's specific to this locale?

University of FL has an extensive site called 'Featured Creatures' from their entomology dept. More than just beneficials, tho...

http://entnemdept.ufl.edu/creatures/

This one can be a good resource too:

https://www.whatsthatbug.com/