I'm not one to whinge about my neighbours, they are elderly and I really like them! However, they have a massive tree that is now so big it is overhanging into our garden and totally blocking light to our greenhouse. They told us 8 months ago they were hiring someone to cut it back but never did. When I politely broached the subject recently they said if I got them a quote they would 'look into it'. 
Bizarrely, they also made a snide comment about our bamboo fence, saying it was looking tatty and needs fixed. The reason it is now badly damaged is because of their ivy pushing through. There is a wall between our gardens, bamboo is on our side. The wall is now very badly damaged. I cut it back a lot during summer but they have made no effort to maintain it, even though they have a gardener that comes in every fortnight.
AIBU to expect them to just bloody well maintain their garden?!