Falken AS210 All Seasons are available in 185/60 R16 for the Crosstar. No other manufacturers do that size. The Falken has reasonable reviews but not on same performance level as Michelin or Goodyear all season tyres.
I am afraid it is one of the penalties of many far eastern cars that the choice of quality tyres is small to none!
Another option would be to fit 195/55 R16 tyres diameter is within 1.2% of 185/60 tyres and there is wide choice of tyres from all the big tyre companies.
It is beyond me why Honda don't tailor European cars with easily available European tyres for European safety tests etc.
185/60 R15 - plenty of choice.
185/50 R16 - no all season tyre I can find. Very limited choice of summer tyres.
Awarberg, 185/50 R16 it's not a size for Honda Jazz, it's a typo for sure.
If you look for 185/55 R16 (the correct size) you have plenty of choice. Then my personal choice is to have summer tyres and winter tyres, but again, it's my personal call.
Going back to the Crosstar (185/60 R16) it's true. Anyway you shouldn't mount 195/55 for a couple of reasons:
1) the rim is 6" wide, and 195 it's at the far end of its tolerance. You risk to have the tyre slipping out of the rim.
2) in some countries (like here in Italy) there aren't any other sizes that are allowed outside of 185/60R16. I know for sure because we bought a standard Jazz and my father-in-law bought the Crosstar so obviously i've seen both vehicle registration certificates. Each of one contains only the OEM size.
Just to be more complete: my Jazz EX vehicle registration certificate doesn't even contain the 15" option as you can see from the attached picture.