I drove through to Yalta and back about six years ago, but not in an A2. I greatly enjoyed the trip, but the roads in Ukraine were appalling, especially in the towns. So one had to be very vigilant for potholes and I think15" wheels would be preferable. The Fiat car I was driving subsequently gave some trouble in the DPF, and from later research on the internet I got the impression that this might have been due to a different standard for diesel fuel (sulphur?) in Ukraine. Obviously no problems about the DPF for an A2 but it might be worth finding out about fuel quality.
I was pulled over several times for alleged traffic lane infringements. My offence would be explained by reference to a long document in Cyrillic script, with the fine defined. There would then be a suggestion that we 'split the difference' and no paperwork would be completed. With foreign registration plates I was a sitting duck and it was something I couldn't do much to avoid, but the amounts weren't huge.
Please bear in mind that on your return you will be re-entering the EU on a border where smuggling is rife. I haven't yet discovered where the chassis number of an A2 is stamped, but it would be well to know and to pack the car so that it can be reached easily. If you plan to enter or leave through Moldova there are, or were, extra complications on which I will post separately if you wish.
Don't be put off - it's a fascinating country and the people are delightful.
Thanks for the advice but I'm actually married now to a Ukrainian woman and have traveled many times by plane to the Ukraine, Dnipro,Odessa, Kiev, Kharkov, Nikolaev, Chernitiva etc and I have used BlaBla car in the ukraine to get around sometimes, so cheap and so easy to use.
I know how bad Ukrainian roads are, whole sections on motorways closed due to bad carriageways, hence why I'm going to carry two spare wheels with tyres. I thought about 15" wheels too, but the expense of buying 6 wheels was too much on top of the new brakes all around and the MOT and subsequent failure, so I ended up with a very cheap set of 16" A1 wheels to match the ones I have, plus I've had to buy 4 new tyres for the MOT.
I have been in a stop by the police (as a passenger) and it took us quite a while to pay the 4 cops that turned up for their share of the loot. But nowadays there is a lot of anti-corruption stuff going on in the Ukraine so it's not as prevalent as before.
Just waiting for my green card and IDP now and I have everything ready to go, going to move my high vis jacket to the front of the car, I have a charging mount for my phone, Ukrainian SIM with data in my dual SIM S9 with credit loaded up. A set of the latest 2018 RNS-E disks, which unfortunately stop at Poland, but I can use google maps the rest of the way, Ferry is booked etc.
Trip is in 2.5 weeks time so wish me luck, we intend to do this twice a year if all goes well.