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.
The Haute42 W-P1 is a sloped controller with an optional wireless connection, and it is available in white as well.
If you don't like the Aolion Apex's ultra-low profile switches, you can simply swap them out with the included low profile switches.
The 8BitDo Arcade Controller Pro adds a left pinky button and brings the right thumb button closer to the jump button.
Given the sweltering success of the PadBox GS, Arkodd released the Platform Edition: half a rectangle with a D-pad and analog stick.
You can order the OKI Hatch Service Deck by JackWagon FightSticks in a lever or leverless format—yet its star feature is its hinged lid.
The Card 4.5 Tatami is a wide controller with two thumb keys, and its compact layout features mostly slanted keys for your comfort.
The Battle Grid is an aluminum controller with 13 buttons in a split layout and a bigger screen than usual.
The FightBox B-Pro is the head honcho of the B series, given that it's got 17 buttons—a good number to conquer tournaments.