There are actually some arcade controllers that contain at least one analog stick and not just a joystick and/or buttons.
The Haute42 C-AS is a slim fightstick that lets you pick the joystick gate and button travel. It has optional analog sticks too.
Given the sweltering success of the PadBox GS, Arkodd released the Platform Edition: half a rectangle with a D-pad and analog stick.
The Huntsman is a batarang-shaped leverless controller with 12 main buttons—as well as two Hall effect analog sticks.
The Caster Portable can fit a Korean-inspired joystick and has more than eight buttons—plus an optional analog stick. What more do you need?
You can buy the PadBox GS preinstalled with a non-split or split D-pad, and it's good for fighting games & other genres.
The X1 is Haute42's first attempt at a modular design, with the WASD buttons being rotatable and even replaceable with a joystick!
The FightBox F6-Analog-Stick has ALPS analog sticks, Sanwa buttons, and Cherry MX switches—making it suitable for a variety of game genres.
The Ruyi Box is a stickless controller with 18 face buttons curved quite interestingly as well as two analog sticks.