I put my hands on almost all Brother push-button machines (if you see anything not mentioned below – I would appreciate if you let me know). If you would like to share any pictures I do not have (with the credits posted in my Encyclopedia, of course), let me know.
I am excited to start exploring soon push-button machines manufactured by other companies.
BROTHER
Brother, for sure, made the largest number of models of pushbutton knitting machines. The pushbutton machines are, in my opinion, are miracles of intricate engineering. They offer robustness, longevity and a lot of possibilities. Just combine you imagination, patience and skill. Pusbutton machines are excellent for absolute beginners, those who transition from hand-knitting to machine knitting, designers and simply those who like to tinker with needles and stitches but cant hand-knit.
4-push button knitting machines

Brother KH521, standard
Brother KH531, standard
Brother Profile 551, standard
8-push button knitting machines

Brother KH110, fine
Brother KH120, fine
Brother KH552, standard
Brother KH560, standard
Brother KH561, standard
Brother KH571, standard
Brother KH581, standard
Brother Profile/KH583, standard
Brother Profile/ KH585, standard
Brother KH587, standard
Brother Profile/KH588, standard
Brother KH601, standard
Genie (Brother) KH710, standard
(Brother) Empisal KH88, standard
Brother KH811, also punchcard
SINGER/STUDIO/SILVER REED
As of today, I am not aware of any knitting machines made by Singer/Studio/Silver Reed with push-button capabilities. I’ve seen some machines on the Internet marked as Empisal but with “KH” labeling. They look different than pushbutton Brother machines so it is possible that those are indeed made by the father company Silver Reed.
So… … to be continued…
TOYOTA
Toyota 858 (pushbuttons+punchcards)
EMPISAL
Empisal KH610
Empisal KH680
Empisal KH90
Empisal KH91