We're not aware of many diseases that rabbits can catch from humans (we have already mentioned ringworm) but whether this is because diseases don't pass from human to rabbit, or whether it is because we don't recognise or look for them, remains to be seen.
One recently recognised hazard that most rabbit owners will not be aware of is that rabbits are highly susceptible to herpes simplex virus or HSV, which causes cold sores in humans. HSV can cause a nasty brain infection (encephalitis) in rabbits, with features such as sudden head tilt and loss of balance that could mimic a dramatic middle ear infection, or E. cuniculi related problems. HSV infection is well studied in laboratory rabbits, but there are now at least two reports in the literature of previously healthy pet rabbits who have developed HSV encephalitis at the same time their owners had cold sores. We don't know yet how significant this risk is, but until more information is available, we would advise rabbit owners with an active cold sore to wash their hands before handling their rabbit and definitely not to kiss the bunny until the cold sore has gone.
From RWAF.