There are DMV businesses partners in Anchorage that are open on weekends. Check the State of Alaska DMV website. That will give you info on the business partners and what serves they provide. I'm sure you'll find what you need. Have a great day!
I do not think any of the government operated DMVs are open on Saturday that has been quite a few private DMV that have popped up in Alaska in the last few years you may be able to try one of them
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