Interesting that this topic comes up right when I start thinking about it again.
I used to run in Kinvara's because they were the 'go-to' solid shoe (no gimmicks, good energy return and cushion). Nowadays, I'm absolutely not a fan of shoes without a firm, harder sole in large part because it the cushioning degrades really fast over time in comparison to hard soled shoes. The Kinvara's by modern running shoe standards are pretty minimal, but the foam entirely collapses after a few hundred miles creating an uneven platform that creates hip problems for me.
Because of this, I've been using hard-soled mostly low to the ground shoes for a while. An added benefit is that it's much easier to lift heavy weights without the extra cushion.
I think the running shoes all of you are looking for still exist, but they just aren't marketed as running shoes. I would search around the internet to see what people in other sports are using.
For minimal shoes brands, the WHITIN shoes sold on Amazon are very inexpensive and have lasted me shockingly long. XERO shoes are a little more expensive but still well priced. There are even a few articles about runners putting high miles and fast times in Crocs.
I've seen soccer players running around my track all the time hitting 8x400m in 65-80 seconds in indoor soccer shoe which are much lower than modern running shoes (Adidas Predators, Nike Tiempos, Adidas Sambas, Mizuno Morelias, etc).
Parkour freerunners have been using Onitsuka Tiger Mexico 66 and Ultimate 81 shoes with great success for a while now.
I can personally vouch for Mexico 66's, WHITINs, and Xero shoes. I recall also seeing that HRE vouched for Onitsuka Tiger sneakers, maybe it's worth giving them a shot (I was digging up information since I was in the same predicament of finding new shoes a while back).