These print flat on the build plate, but once removed pop out into a basket shape.
Many options to make your own with the customizer.

MakerBot

MakerBot Replicator 2

Doesn't Matter

No

Not critical, thick layers are OK

20-40

There may be some trial and error to get the correct settings for your printer. I tried to document the file with enough information to get anyone started. Feel free to ask questions in the comments.

After it is done printing check the bottom to see if any rings merged together, if so push them up to try to separate them. If they are too merged you will need to change the customizer settings and try again. Push the floor down first until it is mostly pushed out and then work your way up each layer until the basket is fully pushed out.

The idea is from scroll saw patterns that create similar baskets. On the scroll saw you do a spiral cut with the blade at an angle, usually around 4 degrees. I used openscad to virtually cut the blank to create the same effect.