I have a list of favorite applications in my menu (right side of the panel), however browsing over there with my mouse is super annoying since my pointer goes through other categories, which hides the favorites completely, unless I go through favorites.
This one's called the Brisk menu - luckily you can disable the hover from dconf-editor:
com / solus-project / brisk-menu / rollover-active
Set this to false There's also a setting to move the search bar to the bottom too.
If you did want to replace Brisk with another type of menu - remove it from the panel (right click) and add a new one like Main Menu (traditional cascading menus, no favourites) or Advanced MATE Menu.