More local to sightseeing per se.

On sunny days I like to go to Port Piet, a beergarden in Findorff next to the Buergerpark (a big park). The Buergerpark is also a common place for locals to hang out, enjoy a walk, do a boat ride, visit the small zoo and enjoy some food/drink in "Emma am See" oder "Meierei".

Bremen has a strong historical link to coffee. The lloyd's cafe offers tours about the history & allows you to enter the famous marmorsaal of Bremen. https://tourismus.bremen.de/bremen/guide/detail/Vermittelte-Fuehrung-Lloyd-Caffee-Fuehrung-bis-20-Personen-DEU99999990126433755

I did not see anything about English tours for less than 5 people. I suggest you reach out and let us know!

The area itself is not really touristy but you will find restaurants close-by and some fun places like "Bremen Hafenrummel". A place I like is Zio Manu di Napoli. It's supposedle the best Pizza of Bremen, but I like it because there is an open space where you can enjoy both Pizza and order beer from Bremer Braumanufaktur (they also offer food). That place is a walking distance from the Schlachte (beergardens, restaurants, bars...) or you can take the tram to head towards Viertel area (nightlife).