Never bought a 'new' washer or dryer. But have mainly owned units with a combination of plastic and metal parts.
I speak highly of Fisher and Paykel direct drive washers, because they last.
First one was given to me for free because it would not let cold water in, I simply swapped the 'thing' that controls the water flow with the hot water side, as I only use cold wash. It was a small 5kg capacity unit, direct drive drum and pump, no belts. It did have a fault where if you unplugged it from the mains, it would sometimes take several power cycles to fire up the electronics, maybe a failing capacitor? Always got it going though and mostly left it plugged in and switched on. Fully electronic operation, never let me down. Got at least 10 years out of it, good for a freebie.
Picked up a Simpson 5.5kg belt drive washer from my neighbor, he left it out on the footpath (sidewalk) because it would not power up. 3 years old. Turned out to be a single capacitor on the main board, fixed that, it got me by but I didn't like the fact it took over an hour to do a full heavy duty cycle vs 35 minutes for the fisher and paykel unit. Still it came along at the right time, because the pump started leaking onto the motor in the paykel. It had done around 15 years work so it was time to get rid of it.
Found another fisher and paykel washer for 2nd hand for $50, this one was a larger 7kg model, direct drive everything, electronic operation. I have had it for a good 6 years and it is probably around 11 years old now, it is serving me well and does the heavy duty cycle in 35 mins the same as the smaller model. Both of the paykel models do not have a lint filter, it must just go straight through the pump. The simpson has a filter which requires cleaning each cycle.
The 7kg Paykel remains king and I kept the simpson as a spare, although I'm not too fond of the simpson, it will get me out of the shit if the paykel fails.
As for the dryer, this one is an interesting one in the sense that it should not still be working 15 years later. I found it on the side of the road with a dent in the body (it had been thrown). It was full of lint and the fan belt was broken. Cleaned it out and removed the grill from exhaust vent, as any lint that escaped through the filter would go there and clog the outlet. The element is partially burnt out, so instead of using 1400 watts it uses around 900 watts. It is now on its 4th fan belt and I replaced the motor run capacitor about 2 years ago, I'm surprised it is still going because these things are not designed to last. It does take its time drying, but the low wattage is ideal when you are running from battery power. You probably wouldn't want to put more than 2 or 3 towels in at a time as it would take far too long to dry them. Keeps me out of trouble and it was free.