My Bianchi Veloce is pretty sporty but not a racing machine. It's great on longer rides and quite stable. I've never felt like it was twitchy. It's not made anymore, but I see some similar models still in the lineup. I think you are looking for a description of something like a "sport" bike or "club rider". If the description starts talking about winning races on it, then you may be getting into twitchy territory.