The European Parliament complex in Brussels is a super neat set of buildings in the EU's de facto…read morecapital.
You can walk right by the area as a tourist and not know what you're looking at (aside from a bunch of cool buildings), but once you know what those buildings are and their purpose and history, it's even cooler!
There are tours within these buildings like seeing the Hemicycle (where the EU members meet), the Parlamentarium (an interactive exhibit of EU history), and the House of European History.
If you don't have time to attend one of the interior tours, or they're not open to the public at that time, the exterior of the European Parliament is just as neat.
The campus that houses the Parliament buildings is the Espace Léopold (Leopoldruimte) and the space itself is very well upheld and beautiful.
There is an outdoor courtyard for visitors called Esplanade Solidarność that is the connection between the Parliament Buildings, and it's a good spot to sit and have a coffee or sandwich during your visit.
In Espace Léopold, there are also two pieces of the Berlin Wall, that were open to the public when we saw them, but seem to be encased in glass now from what I've seen. Still, they are very interesting to see in person, even behind glass.
Whether you're seeing it from the outside or inside, a visit to the European Parliament complex while you're in Brussels is definitely worthwhile - just be sure you plan ahead if you're wanting to do any tours to make sure your dates are available.