Ive found even on the icy roads just by getting to the biting point at around 600 rpm on my car (idle) then the wheels still spin.
I managed to wheelspin my car in 3rd gear doing about 20mph driving normally, no acceleration/deceleration just as I drove over some black ice on one of my local roads. Thankfully it was only a small patch where the sun hadnt melted it.
The following day my mum commented on another bit where she watched someone try to get up the road, which is only like a 5 degree incline, but failing nontheless. I even nearly slid into the road on foot twice on the dropped curbs, youd step on it and start sliding and not know what to do as you couldnt really move any way but towards the road ><
I do think the Mazda 3 handled much better than the micra did though, I wonder what is the biggest factor in stability in the sense of bigger/wider wheels, longer wheel base, or just being a heavier car.