Nike makes a whole line of sneakers using Hyperfusion or hyperfuse technology (just google nike hyperfusion) you can get low top high top or running styles they give a terrific amount of support and are completely synthetic. BTW Sam2 is correct, a fair amount of sneakers these days do not have leather.
p.s.I am hoping that Moshiach comes before tishabav rolls around and above info will be used for informational purposes only 🙂