The St. Peter's Church is the biggest in Riga, and is well worth a visit. The tower is also a great spot to see the city from high above.
The only thing we didn't quite like, was that there were a lot of paintings on display. Lots of the paintings were beautiful, but it kinda felt wrong to have a lots of paintings on display in a cathedral. (We didn't quite get if the paintings were for sale or not.)
But even so; the history of the church, and the view from the tower makes this a "must see" in Riga.
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