grammar - Preposition stranding: is it possible to remove preposition altogether?

Here is one phrase:

This mayhem is not something to put up with.

Here "put up with" is a complete expression, so I cannot simply drop "with" or "up" from the end.

How about this one, a title for a UI element:

The list to add items to.

Can I drop "to" from the end? Will it still be valid grammar? Will the meaning still be the same?

Similarly:

The dropdown box to select items from.

Can I drop "from" from the above sentence?

Something from a kitchen:

A tray to put fruits on.

Can I just say "A tray to put fruits"? (Yes, I know, a "fruit tray" or a "tray for fruits" would be better, but this is not my question).

Is there a name for this grammar form, where a dangling preposition is dropped?