You're on the right track. Shared Links by default allow downloading. See https://support.box.com/hc/en-us/articles/360043697094-Creating-Shared-Linksfor lots of info on Shared Links.
MaryBeth
Do I have to own a paid Box account? I have a free one. So when I click on get shared link, another window opens where the Enable downloads checkbox is inactive for me. This is the screenshot:

Downloads are available for free accounts as well. I have a free account as well as an enterprise one and the checkbox is both available to my free account, and it's checked by default.
I'm at a loss here. I wonder if it could be related to the file type. This isn't a Box Note, is it? I suggest you click the link in the top right of community.box.com to CONTACT BOX SUPPORT.
And when you find out what's up, please report back here.
MaryBeth
Found the issue: In Account Settings->Content & Sharing ->Let link viewers preview the shared item only
Now I changed it to: Account Settings->Content & Sharing ->Preview and download the shared item
and now it works
Account settings!! I'll have to remember to look there in the future.
Kudos to you for figuring it out.
MaryBeth