Only standard-gauge knitting machines have compatible lace carriages.
Below is a list of Brother knitting machines (and pictures of their carriages with some notes) that, to the best of my knowledge, came with lace carriages in their standard setups.
8-Pushbutton machines
The very first 8-pushbutton machines, Brother KH552, KH561, KH571, and KH580, did not have lace carriages in their setups. Starting with Brother KH581 (not sure yet about KH583, KH701, KH705), a lace carriage became a standard accessory.
Judging by the very strong similarity of all 8-pushbutton machines, I would assume that all lace carriages are interchangeable between the models. However, I have not confirmed it personally yet and am still looking for posts on that.
The lace carriages for pushbutton machines match the color combinations of the machines, which makes them easy to match. But the pushbutton machines sometimes have similar hues that might come across on the web as the same colors.
Standard-gauge
Fine-gauge
Punchcard machines
Early punchcard machines with 12-stitch repeat pattern cards, Brother KH800 and KH801, have the same needles as the pushbutton machines. Their main carriages are very similar too. Thus, there is a possibility that the lace carriages of KH800 and KH801 are interchangeable with pushbutton machines.
Starting with Brother KH810 (the very first 24-stitch repeat pattern machine), the needle bed is wider, and the carriages from earlier models do not fit.
