hmmm... wierd thats the first time I noticed the dropper tops came off on my Vallejo paints... glad I saw this just in case I have that prob...
I've never had problems shaking them and not having them mix like you Snoopy... I get mine through www.greatmodels.com and a hobby shop near me. (not local but worth the drive once in awhile) ... try what woodbeck said but I have the feeling they might be a little TOO old or like Rick said, not stored properly. I have used about 20 or so colors (They have replaced most of my other paints) and they all work fine with just the shaking...
an addendum to what Jeff said is get a mini mixer (I got mine at the grocery store for like 4 dollars) it looks a lot like the paint mixer from Badger but it has a long plastic round piece with two flexible blades (paddles) at the end... cut the blades off and use just the round piece... it stirs the @#$@# out of paint in no time flat!! and will fit nicely into the neck of the Vallejo bottles.