Romantic little getaway spots?

Hey everyone!

It’s my special someone’s birthday coming up and we got the weekend off so looking at a sweet little overnight getaway.

Preferably something no more than 4 hours away from Auckland, not hecticly pricey (idk $300-$400 for accomodation & food type vibe), and something with a light activity or things to do nearby like a hike, kayak, a pretty walk, games, etc. Something along those lines!

Sorry if this is a question that comes up often but thanks in advance for any suggestions!

Edit: Geez you guys are so quick with it!!! Thank you so much these are all amazing varied options! Will check them out! Thanks so much again!