If you are not fixed to these special shortcuts, mcedit might work for you:

mcedit with the "edit" menu opened (source: tuicool.com; click image for larger variant)
mcedit is part of the Midnight Commander file manager, but also can be used separately. I'm using it daily, and am pretty satisfied with it: it's fast, supports syntax highlighting, and you can extend it with your own specifications.
Let's see how it matches your requirements:
- Copy/cut/paste: uses different hotkeys, rather inspired by those used for file operations: you mark text with F3 (alternatively, mark block-wise using F13 or via the menu shown in the screenshot.F5 copies marked text to where your cursor is (copy-paste), F6 moves it (cut-paste).
- Select text: as described, hit F3 once, then move the cursor keys as you described to mark the selection, press F3 again.
I've just checked: Also works exactly as you've described, by holding the Shift key while moving with the cursor keys – so "full match" here.
- Word navigation: Exactly as described by you.
- Mark all: Works, but again a little different: Ctrl-Home to move to the start of the file, then F3 to activate marking, Ctrl-End to mark to the end of the document.
- Selecting with mouse: Works. Emulates the internal F3 marking when no key pressed, and "X-marking" (for your "global clipboard") with the Shift key pressed.
- Undo: Yes, but it's Ctrl-U
A bunch of additional possibilities, like jumping to a given line number, search (and replace), and copying to / inserting from a "clip file" (to move text between files) makes this a "round thing". To play at your nick: PHP syntax highlighting included (I use it frequently to edit PHP files) :)
Midnight Commander is part of pretty any distribution's repository, and thus simply installed using apt-get install mc
(Debian and derivates) or yum install mc
(RPM-based distributions). Read more on mcedit by enlarging the screenshot, or follow up to the article it was taken from, or see the Midnight Commander's home page.