Picasa's equivalent is Google Photos... Google folded it into their Photos service long ago, and it's quite nice (if you don't mind it being a Google service).

Picasa's equivalent is Google Photos... Google folded it into their Photos service long ago, and it's quite nice (if you don't mind it being a Google service). Lots of AI, automatic categorization, face recognition of who's in photos, location tagging, album generation, "This Day Last Year" (my favorite feature), slideshows, etc.