install – How can I look for software on my machine which could be installed from Homebrew, but currently isn’t?

So assume there are various apps on my machine which I installed manually at some point WITHOUT using brew. Reasons for that could include:

1. I specifically decided not to use brew, even though I could have.
2. This software wasn’t included in brew yet at that time.
3. It was before I even started using brew altogether.

Now, let’s say I’d like to look for software on my computer, which now does exist on Homebrew, but I don’t have that version installed. Is there some streamlined, automatic way to find and list these? Or would I need to go through all my apps and check, one-by-one?