While UK companies are still producing beers in that range, in my experience many US companies that produce cask ale seem extremely resistant to go below 4% with it.
Sadly, that's true. Acopon's two main cask ales are under 4% though Gaspipes, their best beer IMO, barely gets there at 3.9%: https://www.beeradvocate.com/beer/profile/51901/340677/ https://www.beeradvocate.com/beer/profile/51901/340673/ Those two are outliers though. One of the best bottled-versions of a good British ale made in the States is 4.2% ... Yards Brawler.
I occasionally see beers in the 3.8% to 4.2%. I'd love to see more. I like @PapaGoose03 suggestions of blending N/A beers and beers in the 5-6% range. I had wondered aloud to a friend how a blend of regular Guinness and the N/A Guinness would work out. He tried it and said it was awesome, said it tasted like regular Guinness but was only 2.1%. I've not tried it myself, so am relying on his descriptions.
DFH 30 min is very good and full bodied at the low ABV level. My personal favorite of their “minute” lineup (excluding 120 of course).
Up until 2019, most packaged beer sold cold in Utah had to be 3.2% abv or less. Most people lamented this antiquated law, but not me. They even had 3.2% versions of poplar craft beers from other state like old Fat Tire and Kilt Lifter (humorously renamed Guilt Lifter). I really used to enjoy IPAs brewed to this strength, especially in the hot desert sun.
The laws of Utah and the other so-called "3.2 states" restricted beer over 3.2 alcohol by weight, not by volume (abv). So the limit was closer to 4% abv as the 3.2 Budweiser labels eventually noted. 50 years ago, there were a number of them:
Had this on draft at the brewery on Friday night. I like it. It's rare to see any beers below 4% abv near me. It's even more rare for those sub 4% beers to be lagers, so I figured I'd give it a try. Solid brew. I could easily see myself enjoying many of these in the warm months. I picked up a four-pack after my positive experience with the draft pour. Well done, 'Gansett.