Yes, there are alternatives you might consider.
Basically, you want to look for something that:
* has no heel (not even a low one)
* has no "toespring"
* has been made on a last without inflare
* has no concavity under the ball of the foot
* has a flexible sole
* does not weigh too much
* is wide enough across the toes
* has a thin enough sole for you to feel the ground
* has no "arch support"
It's explained here, if you want the details:
That's actually quite a tall order. Most shoes fail on most of those criteria. The average footwear on offer is as bad as the average diet.
You could try Terra Plana Vivo shoes - those have some toespring, but otherwise fulfill just about all the criteria:
Traditional moccasins were ideal. But many modern shoes selling as "moccasins" are nothing like a moccasin. Some moccasin firms are good, though - here's one:
Otherwise, something from the Finnish maker Feelmax might suit.
For children, there's a South African firm called Froggies that do very minimalist heel-less flexible shoes and have approval from several podiatry bodies. They export to several countries. Or Soft Star Shoes (linked above) also do kids' shoes.
You might also look at some ballet, dance, or Tai Chi shoes.