The Linux Mint multimedia codecs (package mint-meta-codecs) can be installed through the welcome screen (in your menu). It's under first steps.
As far as I can tell the ubuntu-restricted-extras installs a subset of this but should be largely the same. ubuntu-restricted-extras recommends to install ttf-mscorefonts-installer which you'd have to install manually on Linux Mint if you
really want 24 year old fonts that serve no purpose on a modern system. mint-meta-codecs also install adobe-flashplugin which I disagree should be installed on any system so you may want to remove that one afterwards.