I recently got approved to sell shoes on Amazon. I had a service like the The Selling Family's Category Approval Assistance Service* help me (they did virtually all the work) for me quickly.
I got approved in shoes for 2 reasons: 1.) There's a lot less competition in shoes than many other categories. (By comparison, shoes is 'wide open' right now). But more importantly, 2.) there are many major store retailers give MASSIVE discounts (up to 90%) when they're clearing out stock. That's where the fattest margins are for resellers like you and me. (We're talking buying major name-brands (Reebok, Nike, Nine West) for (say) $10 and selling them on Amazon for $30 to $40+.)
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* Please note: TSF's Category Approval Assistance Service is not required for you to be approved ('ungated') for Shoes on Amazon. You can apply for approval yourself manually. But I recommend the service because it can save you headaches and hours of time. Here's why: Amazon can request you submit your application 'just so', and the files you have to put together and submit can be long, complicated and cumbersome.