Heaven is an eternal adventure. But unlike Material existence, which is filled with illusions due to ignorance, selfishness due to ignorance, suffering due to ignorance,...the Spiritual existence is one of Love, unity, joy and happiness- there is no ignorance.
I am a Hindu btw. I don't know if you were accepting answers from anyone other than Christians since you mentioned Jesus and Biblical ideas only, but I decided to respond anyway because a lot of atheists innocently forget that there are other religions in the world besides Christianity.
Continuation: In the specific Hindu religion that I grew up in, God is considered to be the greatest Enjoyer. This does not mean selfish enjoyment, it refers to a passion for life, a passion for experiencing life. Someone above said that in Heaven there is no eating, drinking etc. But from what I understand from my religious philosophy, 'Heaven' is full of these things, full of pleasures, enjoyment, experience.