After
Spicy's Gewürzmuseum, pick one clear neighbor:
Speicherstadtmuseum for more warehouse-trade context,
Miniatur Wunderland if you are traveling with kids, or
Elbphilharmonie for a short waterfront walk and skyline payoff. One extra stop is usually enough after a small sensory museum. So the
Speicherstadt part of your day stays curated, not crammed.