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The West Battery is a smaller fort from the Stelling van Amsterdam. It is located near the waterfront at the western end of town, there is a very small but nice sandy beach next to it.
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It is a 13th-century castle on the banks of the river. You can visit independently most parts of the castle and the surrounding gardens. The very nicely furnished living quarters on guided tours only. The tours are in Dutch but will be given in English if requested, there is a handout with an English translation as well; inquire in advance
Great Sea Lock
It is the other landmark of the town, listed Rijksmonument. It's just such a fun to chill out in a quayside cafe and watch numerous boats negotiating the lock.
The fortress is a part of the Stelling van Amsterdam a series of fortifications ringing Amsterdam, which used water to protect from invasion. This unique system has been included on the UNESCO World Heritage List. There are 45 forts in total 3 of which are in, or accessible from Muiden. Muizenfort is located just south of the main lock.