One use-case scenario for 13 button controllers is a leverless controller that has one extra button for your left middle finger in an optional WASD layout.
You can buy Akekon Dojo's DP-5 regular or mini version with 11 or 13 buttons and at least three color options.
If New York is the concrete jungle where dreams come true, then the NY-box may be the controller that'll fulfill your dream of winning Evo!
The WoodFloor's 14-button split layout allows you to move your hands freely, but you can still order this controller with only 13 buttons.
The Powkiddy A50 is a budget option for if you would like to try the leverless or WASD layout—or need a light controller to travel with.
The FightBox F-Pro resembles the Hit Box yet packs enough unique features to make it one of the best bargains on the market.
You can choose the color of the small & light KBGM-H06M, which also features LED for its buttons and midsection.
Cubs made a hybrid, the Cubstraption, that has a GameCube controller on the left and half of a box controller on the right.
The Haute42 S16 is a small & slim stickless controller with more buttons than usual, and the S13 edition has less buttons.