We have a burr-type coffee grinder which sits on a ceramic tile
countertop with ceramic tile backsplash.  When we grind coffee the
grounds pick up a charge.  When we open the grinder to pour out the
grounds, coffee flies everywhere, adhering to the tile.  A mess.

Is there an easy way to remove the static charge from the coffee to avoid this?

i am not exactly sure, it is an intresting problem but i can provide
you with some informion, if i knew exactly what the probolem is i
could help you more, exactly when do the grounds fly out? is it as you
open the lid of the grounder or is it when u begin to pour? im not
sure and dont have time to research but i think that if u can runing a
peace of string or wire from the inside of teh container to the
floor(ground) it would remove the charge, 2 other simple soulutions
are to move your grinder or to by a compleatly diffrent tool.
http://www.sciencemadesimple.com/static.html is a good site if you are
just curios about why it would happen. other wise moving your tool
would grinder would proboly solve the problem.

a grind and brew style coffe maker is great appliance (from personal
experience only) and if you are a real coffe lover buying one could be
nice.
when i did a ebay search on them i found an inbox 24 cup programable
grind and brew cofee maker for only 25 dollors plus 15 dollors
shiping. looking there might be a posiblilty

That?s air conditioning for you.

If you grind the coffee just prior to using it, add a little water. OK
it?ll make a bit of a mess but probably less than the one you get.
Sulphuric acid would be far more effective of course but I?m sure
there is a reason why this wouldn?t be a good idea.

Best

I have had the same problem with my previous grinder. Not only was it
really loud, the grinds went everywhere too. the solution was to
replace the grinder.  I suggest you window shop at www.coffegeek.com. 
The reviews are pretty good and are searchable by machine type.

I have had the same problem.  Here are a few steps I took that helped:

1. Don't fill up the grinder all the way.
2. Don't over grind -- the smaller the particles, the worse the problem.
3. Hold the grinder over the sink when removing the lid.
4. Place the grinder far into a gallon size ziploc bag before dumping
out the grounds.

It's still not perfect, but I'd say this has reduced the mess I had by 90%.