The birthday party in your dream could mean that you need more attention from other people, but only if it is your birthday that is being celebrated. Other peoples party could mean that you wish to give more attention to them.
Dream dictionary: birthday party dream meanings
…If you were dreaming about the birthday, this dream could have many meanings and different explanations. The most important thing when analyzing your dream is to try to identify whom birthday it was. If the birthday was yours and you were having a good time, it signifies that you feel accepted among your community and/or you feel happy of who you are and the life you have. The dream also shows that mostly of your dreams have been fulfilled and now you feel like every day is a big celebration. If you dreamed of having a birthday party and no one attended it, there is a possibility that you feel neglected and abandoned. Even if you had no party in your dream, but no one congratulated you, this also foretells about your state of being forgotten. Maybe in reality you do not have too many friends or the ones…
The birthday party could indicate the fact that you love the attention or that the important occasion is coming into your life.
Dreaming of eating birthday cakes or snacks at your own birthday party, or of another person, suggests that soon there will be trouble in the family. Dreaming about being alone on your birthday announces sadness due to various problems and perhaps even betrayals of friends. Dreaming about birthday gifts indicates that soon there will be many unpleasant surprises and commitments. Dreaming of giving birthday gifts indicates that you must comply with undesirable social commitments.