Whats the top 10 things to produce using a lathe?
Are you asking what is produced overall in the world?
You would have to diminish down your definitions to know where to even switch on to look to answer it.
What type of machine are you talking more or less?
Hand operated, CNC, milling machine, screw forming/threading appliance, etc?
What operations do you consider to be manufacturing?
I take in turning but how about drilling, sanding, knurling, or deformation?
Does an engine near many individual machined parts count as a single thing or masses many lathe machined things?
You would have to literally compare the engineering statistics of the world's production of everything without defining the variables.
Without any definitions to dictatorial it down I can say fairly confidently that it will be fastener of ten different kinds.
Screws, nuts, and bolts hold the entire world together.