here is a list of drivers for videos cards, you could find what you have available here :
/lib/modules/yourkernel/kernel/drivers/video

I took this list on my laptop which used the i810 driver, you could check into your list or this one which drivers are libre or non-libre  :-)

aty/
hgafb.ko.gz    
matrox/     
radeonfb_old.ko.gz 
sstfb.ko.gz      v
gastate.ko.gz
cirrusfb.ko.gz    
i810/          
neofb.ko.gz 
riva/              
tdfxfb.ko.gz
console/          
intelfb/       
s1d13xxxfb.ko.gz   
tridentfb.ko.gz
cyber2000fb.ko.gz  kyro/          
nvidia.ko   
savage/            
vfb.ko.gz
geode/            
macmodes.ko.gz 
pm2fb.ko.gz  sis/               
vga16fb.ko.gz

works and that they always spit on it. I use different distros for my 
works (mix video, interactive installation, audio pro recording, live 
music, printing, website...etc) without one non-free software. So I 
affirme here, you could have a descent multimedia linux system without 
any stupid non-free software.
    

really? which video drivers do you use? the proprietary nvidia or ati
drivers ?

LG
Georg