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Great flight! Especially considering the low price!
The non-stop service from NYC to Kiev is a great price and perfectly harmless (as far as international flying goes). It gets you into Kiev in the late afternoon (similarly, the opposite direction gets you into NYC in the afternoon), which is good for getting acclimated to the new time zone.
Ticket counter employees were nice on me even though I had a larger-than-regulation carry-on (they let it on for free).
The airplane was a normal Western 767 jet, no Russian garbage, and while there was no in-flight entertainment (other than looking at the pretty flight attendants, who were several cuts above the usual American ones), who cares when you can sleep or use your own phone/computer?
Overall, you can't beat the pricing, especially since you can order 1-way tickets for half the cost of roundtrip (whereas most companies greedily charge 75% or more).