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.
texteditors.org provides a long list of [text editors that use this type of keyboard shortcuts, also known as CUA shortcuts](https://texteditors.org/cgi-bin/wiki.pl?CuaFamily). Here are some of the more current and available examples.

* [Cream](http://cream.sourceforge.net/) - Vim editor repackaged to use CUA look and feel
* [CTE](https://cte.e10labs.com/) - The standard CUA editor for the Linux console
* [PE64](http://www.pe32.com/pe64/) - IBM Personal Editor
* [PyPE](http://pype.sourceforge.net/index.shtml) - Python-centric text editor that uses does code folding
* [TDE](http://adoxa.altervista.org/tde/) - Thomson-Davis Editor (public domain, DOS, Windows, Linux)
* [SetEdit](https://sourceforge.net/projects/setedit/) - Borland-style text editor
* [THE](http://hessling-editor.sourceforge.net/index.html) - The Hessling Editor - open source multi-platform XEDIT clone
* [Tilde](https://os.ghalkes.nl/tilde/) - Open source comfortable Linux editor for those used to GUI editors
* [X2](http://x2e.doubleshadow.wz.cz/) - a multiplatform text editor much like [SlickEdit](https://texteditors.org/cgi-bin/wiki.pl?SlickEdit) and the [IbmEditorFamily](https://texteditors.org/cgi-bin/wiki.pl?IbmEditorFamily).

additionally, many of the available text editors let you reconfigure the shortcuts.