Dzire with that Swift look in front spoils the party for me and always look like a extended boot for Swift.
On other hand though Amaze is built on Brio platform looks more like a sedan and also it looks more aerodynamic design than Dzire. As shown in the video Amaze has more powerful engine and revs linear and has more space and legroom inside and also looks bit roomy than Dzire which looks bit claustrophobic to me
As the same Fiat engine works in Dzire it looks bit lagging or not able to respond in slow speeds until rpm touch 2000.