I’m nearly a year into wearing only minimal/barefoot shoes, so I only wear shoes with a wide, foot-shaped toe box, no heel and no artificial stabilizing features.
Typically they also have a thin, very flexible sole. For biking, a transitional shoe like some of the Lem’s works well: all the other minimal/barefoot attributes but a thicker sole.
In particular I’m using the Primal Zen for biking and it works well. I would expect that some of the Altras could work well too if they didn’t have too deep of a tread.
Otto