If you're looking for another Applicate alternative, Imagga is worth a look. This project provides a full-featured image recognition API that can categorize images and create thumbnails automatically, and it offers features like visual search, face recognition and content moderation that could be useful for organizing and managing a lot of photos and screenshots.
Another contender is Kive, an all-purpose tool for creative work that uses AI. Kive has tools like AI image generation, automated tagging and an asset library, so you can build and maintain a brand's visual identity. It's geared for creative pros and agencies trying to get a handle on their content.
If you're looking for something that runs on Macs, Keep It Shot is a powerful AI-powered tool for automatically naming and organizing images and videos. It creates a private, offline search index so you can find what you're looking for with a few keywords. The app is good for anyone who needs to wrangle screenshot chaos and build a fast, useful search system.