The creator of the popular MCUdude boards platforms makes an ATmega32A board:
Arduino Forum moderator CrossRoads also makes some ATmega1284P boards that would work with an ATmega32A if you don't need the full capabilities of the ATmega1284P:
These don't exactly match your specifications, but they come pretty close. I own both the MCUdude board and the CrossRoads "ATMega1284P Duemilanova-style" board and they are both very nice.
There have been multiple suggestions for Arduino to make an ATmega1284P-based board over the years. I haven't seen a request for the ATmega32A before, but I'd guess it would get the same response. You are always welcome to design your own board.
I'm more a fan of the ATmega1284P than the ATmega32A. My use case is for when I am designing a board from scratch for a specific project. In this situation where I'm spending a lot of time on the project, it's well worth it to me to spend a little extra money to have the increased capabilities of the ATmega1284P (when compared to the ATmega32A). Even if I don't need those capabilities immediately, I may later want to add additional features to the project and would not want to run into memory shortage just because I decided to save a few dollars on the BOM. However, the reasonable price, nice number of pins, and DIP package availability of the ATmega32A does make it a bit attractive to me. I have a few of these chips on hand, even though I've never done anything beyond some basic blink-type things with it.