Is there a database on internet for LTspice models?
I do not now if there is something like a database.

But I got most of my models from either the ltspice yahoo group (https://groups.yahoo.com/neo/groups/LTspice/info)

Or from Farnell they have a spice model for most analog parts.

You have to create a login to download this models for both pages.

I personally did not find better solutions yet...