For petrol cars, there wasn't really any changes to the standards between Euro 5 and 6.
The standards for NOx, CO2 and particulate matter remained the same.
Diesels on the other hand had the NOx limit more than halved, from 0.180 to 0.080.
What this means for buyers depends on what model.
Fiat did change the way the 1.2 petrol drove at the time Euro 6 cars appeared on the market here in the UK (and I presume elsewhere)
It was around March 2014 that Fiat altered things, whether this was because of the euro spec change is hard to know or understand as the standards hadn't really changed for this engine??
It's debatable if Euro 6 1.2's don't drive as "nicely" as Euro 5's.
Having ran both, side by side for a while there are noticeable differences and I can see both perspectives.
Euro 6's seem to control the fueling more themselves setting off.
Just lifting the clutch tends to cause a self increase in rpm to prevent stalls and they also do it on gear changes to aid smoother changes.
A lot of modern cars do this these days, (as did the euro 5 engine, just it wasn't as pronounced) and driving instructors actually utilise this now in their instructions, all that biting point and setting rpm's to set off has almost disappeared, cars will almost do this for you now.
Trouble is I think the way Fiats system works, it's a bit crude.
Too much manual input tends to cause the engine to bog down, as you are controlling the throttle body (air) and it's controlling the injectors (fuel).
You really need to drive both and see what you think, if you are a fairly new driver, it doesn't seem to feel odd.
But if you're been driving for years and aren't used to these modern systems, it can catch you out until you are used to it.