Haven't driven a Yaris or Mazda 2 of any flavour or era, so can't really comment. As for the Jazz - I've driven a 2011 Hybrid. I had it for the day whilst my i10 was being serviced, and I looked at them again before buying the Mirage.
The Hybrid Jazz felt soft and comfortable. Interior materials were of a higher quality than the mirage. Felt unashamedly Japanese (meaning buttons everywhere, bright clear displays and a feeling - to my mind - of being built "For sole purpose of transporting you, Driver-San to destination, with highest reliabililty as demanded by Emperor Honda.")The CVT was smooth and also had paddles on the steering wheel. The fuel computer was excellent at coaching one on the correct application of braking and acceleration for economy. Engine was smooth, IMA system worked well and you could feel it bolster the torque when required. Spacious interior and boot, engine bay a little cramped.
MPG on the day I had it (around 3 hours of driving) worked out at 61MPG by the fuel computer over mostly 50/60mph roads. I would have purchased one (the Hybrid) quite happily, but I was able to purchase an 18 month old Mirage with 6000 miles for the same money as a 4 year old Jazz Hybrid with over 50,000 miles.
View my fuel log 2014 Mirage 3 CVT 1.2 automatic: 47.9 mpg (US) ... 20.4 km/L ... 4.9 L/100 km ... 57.5 mpg (Imp)