Question: I seek an editor where `Ctrl`+`C` copies, `Ctrl`+`X` cuts, `Ctrl`+`V` pastes, `Ctrl`+`Z` undos, `Ctrl`+`Y` redos, `F3` searches and `F2` renames. When I click the left mouse button, the cursor should go there. All modes should be active at the same time (command and insert and ...).

Also `Ctrl`+`W` closes the current tab in tabbed interfaces, `Alt`+`F4` closes the currently focused app, `Ctrl`+`Tab` tabs between guess what, tabs, `Ctrl`+`O` brings up open dialog, `Ctrl`+`P` brings up print dialog,

What Linux editor exists out there that can be used in the terminal and has that behavior?

Answer: 
What are "universal shortcuts"? There is something like a "universe" but there are no "universal shortcuts". It is a subjective term. Many vim users will consider the vim shortcuts "universal" and do everything to change different keybindings to resemble these of Vim.

The keyboard shortcuts you mention resemble these that are quite common in graphical environments. There is a terminal based text editor, [micro](https://micro-editor.github.io/), that implements this style of shortcuts. It is available as a Snap in the software center of Ubuntu. At least in Ubuntu 19.04, it is also available as an APT package.
These keystrokes are not "universal." They are part of an IBM project called "[Common User Access](https://en.wikipedia.org/wiki/IBM_Common_User_Access)" (CUA).

Vim can do what you're asking if you install the [cua-mode](https://github.com/fabi1cazenave/cua-mode.vim) plugin. (Note that this plugin is very old and has not been updated in a long time; I have no idea if it will work with the current version of vim. I only add it here because it is the first link DuckDuckGo returned to me when I searched.)