Honestly, yes. It is an incredibly moving, inspirational, and powerful experience. It can also be quite emotional – many people plan only the Anne Frank House without other attractions to visit that day, and then go seek entertainment about town to process and cheer them up.
Hands-down, it (and the long line you often have to wait in) are worth it. Keep in mind that handicap access can be limited – there are a lot of steep staircases and narrow passages – so check their website for recommendations if this affects you.