I haven't used BBEdit in over a decade, so my sense of its capabilities are surely out of date. I can't compare features, but I can tell an interesting story.

Sublime Text is arguably a spiritual descendant of BBEdit. Sublime Text (starting with version 2) was heavily inspired by TextMate. In fact it used TextMate file formats for colorschemes and snippets, making it relatively easy for TextMate users to migrate to ST2. That was a major reason for ST2's rise to mass popularity — TextMate was not receiving updates and was MacOS only, and in comes ST2 offering a very similar editing experience, but with cross-platform support and frequent updates.

TextMate, in turn, was heavily inspired by BBEdit. BBEdit at the time was, as its name suggests, fairly bare-bones. It had auto-indent and syntax highlighting and very sophisticated grep capabilities, but not much else in terms of programming support. For a long time, it was THE code editor for mac users who wanted a graphical interface but not an IDE. TextMate rose to popularity by mostly mimicking BBEdit, but offering additional programming features like snippets and shell-script based plugins and more sophisticated syntax highlighting (enabling e.g. correctly highlighting CSS and JS embedded in an HTML file).

With BBEdit 14 now apparently supporting LSP, it looks like it has incorporated a lot more programming support features. It might at this point be a more-or-less mac-native take on Sublime Text.