You have to determine first factors that you consider/value such as:
- resale value? - honda has an edge
- performance? - Jazz 1.3 vs. Mazda3 1.6, Mazda 3 handles like a dream
- fuel economy? - Jazz no doubt
- space? - Jazz seems to have better space utilization but the Mazda is still a full-size sedan.
- city or highway driving? - both are quiote easy to drive (the JAzz has the advantage of size in the city), on long trips the Mazda may be better due to it's heft.

My .02