Yes if the boat is over 16 ft. in length a throwable device is required. Fire extinguishers if any gas or propane in on board. This would include gas or propane in a lantern or stove, not just a gas motor.
Anchor is not required equipment but is a very valuable safety devise. Can save your life if motor fails in a current. Also learn how to use and set an anchor. Setting it incorrectly can sink your boat.
Follow this link for the KDFW safe boating course. If you have time to read these blogs, you probably have time to take this course. I learned a few things when I took it. No charge unless you want state certification.
http://www.boat-ed.com/ky/index.htm