Singer knitting machines, especially, metal flat-beds, have somewhat different mechanisms than other knitting machines (although there are some overlaps). Thus, they sometimes need a different approach to handle carriage problems than other machines (like Brother or Toyota). Some of these issues and solutions covered in my article.

Many Singer knitting machines are clones of Japanese manufactures of Studio and Silver Reed knitting machines (with some rare exceptions, where the Singer machines were manufactured by the European company).
Standard-gauge
Basic/manual knitting machines
Singer 500, with needle selector
Turn-knob knitting machines
Pros and Cons of single bed Singer machines with turn-knob patterning capabilities are listed here.
Singer 400 Memo II, double bed
Singer 600 Memo II, single bed
Singer 5 mm Hobby Knitter
Double bed models
Singer Freestyle
Singer MKII
Singer 400
Singer 600
Singer 2110
Singer 2310
Peg-board models
Peg-board models are a hybrid between punchcards and electronic knitting machines.
Singer 2100 MemoMatic, double-bed
Singer 2200 MemoMatic, double-bed
Punchcard knitting machines
Singer MK70, plastic bed, foldable
Singer HK160, plastic bed, foldable
Singer Cardmatic 312
Singer Cardmatic 313
Singer mod. 313
Singer MemoMatic 322, built-in knit-leader
Singer MemoMatic 327, built-in knit leader
Singer mod. 327, built-in knit leader
Singer MemoMatic 328, built-in knit-leader
Singer 360K MemoMatic, built-in knit-leader
Singer 700K MemoMatic, built-in knit-leader, built-in intarsia
Singer mod. 700, built-in knit-leader, built-in intarsia
Singer mod. 740, built-in knit-leader
Singer Hi-Memory
electronic knitting machines
Singer 500
Singer 560k
Singer mod. 580
Singer 2310, electronic (Mylar sheets)
Singer 2340, electronic (Mylar sheets)
Singer MT2140
Singer MT-700
Bulky knitting machine
Singer HK100, plastic bed, 8 mm, basic
Singer LK100, plastic bed, 9mm, basic
Singer Big 9
Singer SN 151
Singer Hobby Knitter
Singer mod. 150, 9 mm, basic/manual
Singer mod. 151, 9 mm, basic
Singer 155, 9 mm, punchcards
European Singer machines
These machines are European- (not Japanese-) made Singer machines.
Singer 2200, electronic, peg board, double bed
Singer 1100
Singer 2110
Singer 1310
Singer 600/Memo II, double bed
Singer 400/Memo II, single bed
Singer 2310, with mylar sheets
Singer 2340, with mylar sheets
Singer System Model, 624 Controller
Singer MT2140
Singer System Model, 9000 Controller
Singer MT-700
Singer Big 9, bulky gauge
Singer Hobby Knitter, bulky gauge
Singer SB 151
Singer 5 mm Gauge Hobby Knitter
Singer Chantelaine, double-bed
Singer MKII, double-bed