2k9, new, in July 2k9. Currently just under 80k miles on it. Yes we have issues. Most are pretty minor and its a 10 year old car that's our only vehicle. DW isn't always as gentle with her things as I am (she uses a phone case and has shattered 2 phones, my phones have always been naked and I have yet to crack any).
We had the traction control system fail in the winter of 2012/2013. Expensive repair ($2k), but honda regional covered all but $100 of it. Not sure if it was because it was just out of warranty (time, not miles), or what.
We have some water leakage around the windshield on the passenger side starting last year. I cleaned out the roof channel, caulked it and that seemed to fix it for ~6 months. Recently we had more water infiltration. I apparently shoved the weatherstripping forward when I was looking at it again, because it quit without me doing anything more? Possible that's just the weatherstripping getting out of position because the DS likes swinging out of the car and could be hitting that and moving it some with his fingers.
We're starting to get rust on the rear hatch. That may not be honda's fault, that may be a shoddy repair job from when someone backed into the hatch and punctured the rear bumper when the car was less than a week old. Similarly, the rear tow cover won't stay in, again because someone hit us at a red light (we were stopped, he... didn't quite. Low speed impact, no damage other than that cover which I didn't spot till I was home after and it fell off and dangled on its cord).
Our headlights are starting to get scratched/cloudy. Kinda expected at this age.
The driver's parking light is "twitchy" -- it seems to fail too often, but I think it might be a broken wire as last time I pulled it out to discover the auto parts place sold me white not amber bulbs, when I put it back in otherwise untouched it worked for a few days before failing again. Haven't bothered to investigate further yet.
The driver's door armrest is cracked under the fabric. So far I haven't done anything about it.
Navigation system sometimes gets "twitchy" about the dvd reader working over the last couple years. Not a big deal with smart phones, but we have used it before when the cell networks were dead (the solar eclipse near Carbondale IL). Its also nicer to have navigation on a large(er) screen, vs the phone.
The A/C seems substantially less effective than it used to be. Could just be age/maintenance needed. TBD. Plan to have it looked at next time it is in for service.
I can't say I'd replace it with another Fit if it got totaled, but that's because I also expect the next car I buy to be electric. If I were to buy another gas car, I'd at least consider the Fit, although I think it has it tough when positioned against the new Civic hatch. It certainly isn't a bad car, but the new civic is similar size with better mpg. If I could get a model 3's battery, motor, and supercharging in a Honda Fit body I'd totally buy one of those as a replacement (... which means the Bolt is higher on my list to look at, if we have to replace the car, than a tesla).