If you search for "cycling shoes" online you will get mostly shoes that require special pedals on your bike. You can still use them, you will just not put on the cleats and you will pay more for them - but if you decide to go to special pedals you will still be able to use them.
If you search for "stiff soled sneakers for bicycling" you'll find some sneakers (I'm US centric, others call them trainers) with stiff soles that spread the pressure out on your foot when pedaling - an example is
here.