A lot of people will probably tell you to visit the Jordaan area in Amsterdam. People told me the same when I just moved to Amsterdam. I tried but I never got the idea I’d fully discovered the Jordaan because I always got lost. Now I know, that is the secret of enjoying the Jordaan.
Consisting of a bunch of street names that are difficult to pronounce, the Jordaan is even more difficult to explore when you try to follow the map. So please, stop following your map and walk around. I find the Brouwersgracht to be quite a good starting point. From there, just walk around. I could give you names of streets worth visiting, but let your feet do the talking. If you find that hard, make it into a game like always take the 2nd street to the right, and always the first to the left and so on.
I have spent hours walking around, stopping at a cafe for a coffee and apple pie (this is how I found Winkel 43 (check the Cafe Winkel 43 article), or eating a sandwich while sitting alongside one of the canals. Wake up early to see the city wake up, walk in the sun during the afternoon or wander around the nicely lit streets and houses.
This part of Amsterdam is best explored by getting lost, finding a great cafe or restaurant, only to never find it again. Pack some lunch, a bottle of water (or wine) and just walk around.