You should look for a theme on the WordPress themes directory and see if there’s one that fits your needs. They’re all free and the tag filter let’s you search for themes with a certain functionality, including customizable menu.
I think some of the requirements are pretty subjective, so you could consider hiring a WordPress theme developer. Other than that, just browse the free themes catalogs see if you can find a good one.
If you’re asking for theme suggestions, I personally don’t know what the requirement would be for it to be tutorial oriented, but you’ll have to get this functionality via plugins.