Ribbers need to match the gauge of the machine. Thus, there are ribbers for standard, bulky, mid- and fine-gauge machines. Almost all knitting machine makers created ribbing attachments for their corresponding flat-bed knitting machines. The list of ribbers below is split by manufacturer and gauge.
Brother

Ribbers manufactured by Brother always come with the number ending with zero and with the “KR” letters before the model number.
Brother KR230, bulky
Brother KR260, bulky
Brother KR586, standard
Brother KR587, standard
Brother KR810, standard
Brother KR840, standard
Brother KR850, standard
Brother KR890, standard
Brother KR900, standard
Brother KR110, fine
Singer/Silver Reed/Studio ribbers
Singer/Silver Reed/Studio ribbers are all interchangeable. Below are the models I either had or saw pictures online. …just to show that the models do exist and that I didn’t just retype the list below from other Internet sources.
The general rule is the letters “SR” mark the bulky ribbers. “SRP” are for standard-gauge ribbers. Ribbers with the letter “F” are for fine-gauge machines. Ribbers with the letter “J” in the name, SRJ and FRJ, have some extra features (mostly for convenience) to knit double-bed jacquard even though simpler SRP and SR ribbers still knit double-bed jacquard patterns.
Singer
Singer SR150, bulky
Studio

Silver Reed/SILVER
FRJ80, fine
SR101, standard
SR301, standard
SR321, standard
SRJ70, standard; might be equipped with RJ1 birdseye carriage
SRP50, standard
SRP60, standard
SRP60N, standard
SRP322, standard
Pile rib knitter, standard
SRP-N
SR150, bulky
SR151, bulky
SR155, bulky
Toyota
Toyota 650, bulky
Empisal
Empisal KR90