Te Papa Museum : Explore New Zealand’s national museum. It’s a perfect indoor activity, offering diverse exhibits and interactive displays. 

Café Crawl: Enjoy Wellington’s renowned coffee culture by visiting local cafes like Fidel’s, Customs Brew Bar, or Midnight Espresso. 

Midday: 

Weta Workshop: Take a tour of Weta Workshop, famous for its film industry creations. It’s an immersive experience showcasing movie props, costumes, and special effects. 

City Gallery Wellington: Dive into contemporary art at the City Gallery. They often have thought-provoking exhibitions worth exploring.

Afternoon: 

Zealandia: Visit this wildlife sanctuary with indoor exhibits and walking trails. It’s a great way to experience New Zealand’s natural history while staying protected from the weather. 

Shopping at Lambton Quay: Explore the boutiques and shops along Lambton Quay for unique finds and retail therapy. 

Evening: 

Craft Beer Tasting: Head to one of the local breweries like Garage Project or Fortune Favours for a craft beer tasting session.

Dinner at a Waterfront Restaurant: Enjoy a cosy dinner at a waterfront restaurant like Crab Shack or Dockside, watching the stormy waves from a warm and scenic spot. 

Nighttime: 

Live Music or Theater: Wrap up the day by attending a live music performance or theatre show at venues like BATS Theatre or San Fran.

Remember, Wellingtonians often embrace the weather, so don’t let the rain dampen the experience! These activities cater to various interests and ensure a delightful day despite the wet and windy conditions.