GE Toast-R-Ovens
I have two - a daily driver on the counter and an older version stored away. We had two GE's while I was growing up and when the second went bad, we bought a standard toaster and a Radarange.
I don't believe these had a solenoid, mine do not. It's a rather simple bi-metal mechanism that shuts off the current and pops the door open at the end of the toasting cycle. I've had to adjust one that I gave a friend a couple of years ago and although being rather troublesome to open up, it was easily adjusted. Besides my two, I gave one to a friend and one to my parents when they complained about "new" toasters. Mom mentioned the GE Toast-R-Oven and how much she liked that - and she did, used it constantly - so I went down to the secret prize closet and brought her up one. She used to do baked potatoes, leftovers, chicken breast on the tray, etc. Before the microwave oven it made a lot of sense rather than heating up the entire room with the gassy Universal range for one chicken breast or two potatoes. I wish they'd bring that design back!
Pete, I've never seen that broiler tray before - what a stunning bit of GE goodness there!