I'm happy to have gone with George Cleverley many years ago and today with their trainers (sneakers). My first shoe order (middle pic) is what I think is/was their signature style shoe in their signature leather, the Churchill style in red Russian leather. My second order (right pic) was more my style, a no nonsense whole cut loafer, again in the Russian leather. The whole cut pair is my favorite shoe. My third order (left pic) was another loafer in the de Rede style in pigskin.
These days there are so many options for "smart" looking sneakers/trainers to wear I'm not sure if Common Projects led the way with that trend or someone else. I'm sticking with Cleverley on these too with their trainer collection. Replica from Maison Margiela also have fairly stylish looking sneakers I'd buy.
Other shoes I like are Visvim boots (Zermatt and Serra) and FBT moccasins.
For working out, Asics for running (Cumulus and Nimbus), Nike for basketball (Kobe Protros), Sidi and Giro for cycling, and Burton (Ions) for snowboarding.