Is it possible to continue movies from where one leaves in mpv as can be done in vlc?

You can run mpv with the --save-position-on-quit option. e.g.

mpv --save-position-on-quit /path/to/video.mkv

Alternatively, if you want mpv to do that by default, you can add that option to its config file. For example:

echo "save-position-on-quit" >> ~/.config/mpv/mpv.conf

Or use your favourite text editor to add the same line. The -- option prefix is not needed in the config file.

If you want this option to be the default for all users on the system rather than just your own user, the config file to edit (as root) is /etc/mpv/mpv.conf if mpv was installed as a package. And probably /usr/local/etc/mpv/mpv.conf if installed by compiling the source.

Use "Q" (Shiftq). You will quit, and the next time you play it, it will start from when you left.

Q

Like q, but store the current playback position. Playing the same file later will resume at the old playback position if possible.

https://mpv.io/manual/master/