"Complete" for a cultivator is somewhat in the eye of the beholder. It isn't like, for example, a snow plow where complete means every part for mounting it front or center.
Cultivators were set up in a variety of ways depending on what they were used for. Today, we tend to think of a complete cultivator as including the front universal mounting frames, but often skip over the shields. Originally, nearly all versions came with shields. Mounting frames were a separate item. Although that may have changed towards the end when the cultivators were about the only implement available that used them.
Here are the basic versions of the Cub-144 as available in 1952:
No. 1: 4 spring trips front, 2 spring trips rear, sweeps
No. 3: 4 spring trips front, 4 spring trips rear, sweeps
No. 5: 6 spring trips front, 2 spring trips rear, shovels on front, sweeps on rear
No. 33: 4 friction trips front, 4 friction trips rear, sweeps
No. 34: 4 friction trips front, 2 friction trips rear, sweeps
No. 35: 6 friction trips front, 2 friction trips rear, sweeps
No. 53: 6 spring teeth front, 2 triple spring teeth rear, shovels
All of these versions came with shields(No. 90), except for No. 53 which had an option of adding shields (No. 91). Nos. 3 and 33 came with the long rear tool bars.
Separately available equipment required for the cultivators were the universal mounting frames along with the master control unit and front rockshaft for tractors without Touch-Control or the rear rockshaft for tractors with Touch-Control.
Options included a fertilizer side dressing unit, which had its own options of a deep applicator attachment, a stream divider and a second hopper.
Other options were:
shield (No. 91) for No. 53 equipment
lister type shield (No. 92) to replace No. 50 shield or as extra
triple spring teeth as extra or to replace rear tools on No. 1, 5, 34 or 35 (short rear tool bar versions)
single spring teeth as extra or to replace rear tools on No. 1, 3, 5, 33, 34 or 35 (long rear tool bar versions required 2 sets)
Diagrams of all these variations are in the owner's manuals and parts catalogs that are available by clicking on either manual links at the top of this page. Several members of this forum have strongly encouraged taking the manual along when you go to look at an implement. You need to be able to determine whether the unit is complete and/or includes the tools needed for your own use.
I don't want to steal Boss's thunder on this topic. So I'm just touching this one year of one model cultivator. I'll leave it to him to go into variations that may have applied to other years and configurations of the Cub-252, Cub-447 or Cub-3 cultivators.