Let me try a hand at that (please don't take me seriously, I'm no psychic:p )
Claire will have a boy and a girl
King Albert and Queen Paola will have a delightful year enjoying their new grandchildren.
Kate and Wills will continue just as boyfriend and girlfriend, but she's going to be present at some important occasions with him, as birthdays and such.
Harry and Chelsy will have a few bumps along the way but will also continue together and Prince Charles' fondness for her will grow.
Camilla's son and his new wife will become pregnant in the summer
Camilla's daughter will announce an engagement
HM The Queen and HRH Prince Philip will have a joyous and calm year for a change
Zara Philips will get engaged and the wedding will come soon after
Peter Philips will appear more in the press
Prince Andrew and Sarah Ferguson will get back together.
The Wessexes will welcome a new bundle of joy in their household.
Princess Eugenie and Princess Beatrice will both get themselves official boyfriends
Prince Joachim will remarry and his wife will be pregnant by the end of the year (a girl)
Prince Frederik and Princess Mary will get another dog and be exhilaratingly happy with their little family
Princess Alexandra will continue to date her current boyfriend (sorry, memory fails me on his name right now)
The Queen and Prince Henrik will travel abroad a lot, and maybe engage on a secret vacation to celebrate something like a honeymoon
Princesses Laurentien, Aimée & Anita will be pregnant
Princess Amalia will become even cutter
Princess Alexia will turn 1
Queen Beatrix will discard all the rumours of an abdication and will remain reigning
Willem and Maxima will pay a visit to Spain during the summer and we'll see a lot of pictures of Alexia, Amalia, Irene and Leonor together.
Marie-Chantal will get pregnant again, this time she'll get a girl
Constantine and Anne-Marie will establish a home in Madrid
Nikolaos will get engaged with a girl that it's not Tatiana
Theodora of Greece will have a cute boyfriend
The law will finally be changed and, shortly after that, Princess Masako will announce she's pregnant.
Princess Caroline will get pregnant and will give birth to another girl
Princess Stephanie will get pregnant and get married with the father of the child (a boy)
Prince Albert will find himself a good lady and will get married. Despite not naming him his heir, he'll be a very present father for Alexander.
Martha Louise will get pregnant in the middle of the year and will give birth to a boy
There'll be rumours about Mette-Marit being pregnant again, but this only will happen in 2007 (they'll announce it on Ingrid's birthday)
King Harald's health will be stronger than ever
Infanta Elena will get pregnant
Surprising everyone, Cristina will get pregnant again by the end of the year and will have another girl
Monica Luque will announce she's expecting
Princess Letizia will get pregnant again, but we'll only find out about it on 2007 on the King's birthday.
Felipe and Letizia will pay an official visit to Denmark and we'll see how well Letizia and Mary get along.
Carl Philip will get engaged to Emma but the wedding will happen only in 2007
Victoria will get engaged to Daniel and they'll get married in the second semester
Madeleine and Jonas will remain as boyfriend and girlfriend