Broad platform pedals here.

I rode 2,000 miles to NY in 30 days on platform pedals while wearing $12 Dollar Store slip-on sandals and cotton-blend dress socks.

I rode 1,500 miles in Europe in 40 days (more to see) on those same platform pedals, this time wearing Crocs Swiftwater Fishermen Sandals over ordinary dress socks.

Every day I commute with that same setup.

I have crooked broken toes on one foot, over time pedaling in any sort of enclosed shoe becomes painful. This doesn't happen while walking, must be the act of pedaling pushes my toes forward inside a shoe.

I cannot clip in because I get knee pain. With platform pedals I can move my feet around freely on the pedal to change the forces acting on my knees, thus far this has always alleviated any pain.

Works fer me, 365 days a year down here, rain or shine.

The only caveat is this setup requires flat-soled sandals or shoes otherwise the studs on the pedal engage the tread on the sandal so that its almost like being clipped in.