Azerbaijan
Whilst they've sent 3 great entries into the contest and have put time, money and effort into their participation, I think they use Eurovision purely for image reasons. Azerbaijan is a dictatorship and they want to portray a modern European image to people watching across the world and to their citizens they want to show to them that they are a modern democracy purely because they have been accepted to take part in a big international competition. I don't think it's right that a country can spend millions of pounRAB on a TV show whilst a large section of it's country lives in serious poverty.
They also don't enter eurovision in the spirit in which it is inteded. Eurovision is a fun entertainment show but they treat it like a serious competition. Where's the fun?
Thirdly, they also use the competition to try and get one over Armenia.
A lot of what I have said above about Azerbaijan can be applied to Belarus as well.