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If you only had one day to see a different town and you don't think you will be back for some time then I would say to see Leidan. It's our favorite town in the country and is on a lot of lists online for the number one spot in the Netherlands. Lots of canals and bridges, very picturesque, several cool monuments, has a really good lookout spot with a view, lots of restaurants and cafes on the water, shops, museums if you're into that, and just a lot of side streets to explore. You could easily spend a day there. If you set up a Google map walking tour with (at least) the following markers below it would take you through a good chunk of the city (i.e. the part that you would want to explore). Follow the canals for nice neighborhoods.

Rembrandtplaats (statue of the artist Rembrandt)
Molen de Put (windmill)
Molen de Valk (windmill)
Burcht van Leidan (modest medeival castle remains with a view of the city - free to enter)
Koornbrug (covered bridge)
Hooglandse kerk (cathedral)

Other spots if you had time:
•Haarlem was a nice city.
• Zaanse Schan for windmills that are close to Amsterdam, but you would only want to spend an hour or two there max, it's extremely touristy with people everywhere.

Brilliant! That's my trip all sorted. Thanks a lot!!!!

No problem. Good luck and have fun!