"set incsearch" is all it takes to get incremental search. Are you trying to argue that Emacs defaults are so good that you never need to change it? I find it hard to believe you never have any "setq"s in your Emacs config.

> In emacs you can type to search then ctrl+s to move to next match then continue to type to edit the search string

In vim you can type to search then n to move to next match then /<ctrl-p> to continue to edit the search string. But seriously, a fuzzy searcher or :grep would be more useful for that sort of thing.

> Replace has advantages in emacs when it comes to case matching.

Case matching is a thing with Vim's regex too.

> And it goes on and on.

But all of the things mentioned so far are about basic editing capabilities that any decent editor would support one way another.

What do you mean by “type to search”? Sounds like you’re omitting the “start search” key combo.

Your example in Vim:

* / to start a forward search

* type in the word and hit enter

* n/N for next/previous match

To modify the search:

* q/ opens your search history with the cursor at the last searched string

* modify the search string using standard Vim keys

* hit enter to search