I had a couple of Morris Marinas. They never let me down in terms of failing to start, they always got me to my destination but minor irritations were plentiful - leaking windscreen, heater controls, shock absorbers.
I gather many of the parts were indeed from the parts bin including the front suspension from the Morris Minor.
One thing I've reflected on over the years is how do you define reliability? For me it's does the car start and does it keep going so I would say the Morris Marina was a reliable car but a pretty irritating ownership experience if that makes sense.
Not had any issues with any of the five Hondas I've owned.
Amendment - I did have a water leak on my Mk2 Jazz - a quick fix though.