Note that it says *2 (x2) on each of several entries, this means there are two controllers inside that box, even if they're on one board.
What problem are you having with the controller that requires replacing it?
To pick a controller you need to know or find out and then make a list of:
--what is your battery current limit? Your total controller current limit, both together, can't be higher than that, and should be as much less as possible so you aren't stressing the battery (whcih ages it faster and for most of the cheap poorly-built batteries that come with things can cause assorted problems--just look around the forum for all the battery troubleshooting threads for examples). If you stick with a total limit the same as your existing controller, it should be safe. (this will limit the total power to the same as your existing controller--if you need a higher power level you may have to replace the battery to support it, since the battery must supply *all* the power the system ever uses).
--what is your battery voltage? Your controller will have to be able to operate on this; if it's too high the controller may fail, if it's too low the controller may not even try to run the motor. If you stick with the same voltage your existing controller uses, it should work.
--how much power do you actually need for the job you need the system to do for you? You can take your specific riding conditions, including wind, hills, your weight plus system plus anything you carry, etc., to simulators and calculators like those at ebikes.ca to guesstimate how much power it actually takes to do whatever it is you want to do.
--what are your specific needs on the system? What features do you want it to have? What specific things do you want it to do for you, or be capable of? Make yourself a list, and be as complete and detailed as possible. Don't make any assumptions about what any controller can do for you; specify exactly what you want, so you can make sure that your new one(s) can do those things.
Note that if you want higher speed, it's possible that in addition to more power, you'd have to change the motors to ones with faster windings, or change the battery to a higher voltage to make them spin faster, as well as using controllers that support that higher voltage.
BTW, I merged all your threads for this same thing to the first one you started on it, to keep all the info together, so those helping you can have all of it in one place, and you won't have to keep answering the same questions over and over, and helpers won't have to keep asking the same questions over and over.