I think you have chosen two of the most reliable cars out there. Toyota Yaris (petrol) and Honda Jazz are extremely reliable in manual form. You'll not got wrong with either of them.
For me, if I couldn't decide between the two, it would be down to which car offers the better deal for my money. I have no idea what budget you are working to or other considerations, but on Autotrader today there are 32% more Yaris than Jazz (MY 2015-2018 Jazz: 613 Yaris: 809), and as such I would expect to acheive a better deal with the Toyota.