have an old lenovo s/N ES11324932 want to a printer that can work with this computer?

Answer 1

If your computer has USB connection, any modern printer may work with it. Your only problem if ever is looking for the appropriate driver compatible to your computer's OS.

Answer 2

Printers are dependant on the Operating system (Drivers) and connection.

Any USB printer with any computer with a USB socket that has the correct drivers for your model printer will work. 

If it has the old parallel ports you are going to have to find a cable. 

Answer 3

what version of Windows?