Some plant diseases can be very specific to a certain plant or family, others can have a wide host range encompassing many different families so it really depends on the disease. It also happens that different strains of the same pathogen can be more specific. Even diseases that tend to be very host specific, like rusts, don't restrict themselves to the same family where they have multiple spore stages. To give an example I'm most familiar with, the daylily rust fungus, Puccinia hemerocallidis, affects daylilies but needs Patrinia plants to complete its full life cycle. Not only are daylilies and patrinia not in the same plant family, one is a monocot and the other a dicot.
To give an example of a disease that affects many different plants, according to this article from the U of Hawaii, southern blight (caused by the fungus Sclerotium rolfsii) can affect 500 plants in 100 different families
http://www.extento.hawaii.edu/...
And according to this article from U of Wisconsin Extension, both rose and tomato are hosts:
http://hort.uwex.edu/articles/...
I looked in the USDA mycology database, they show about 2,600 different fungi that are recorded on tomato, and for rose it is over 4,000. Not all plants are necessarily equally affected by the same pathogens though, so I don't know if all these fungi actually cause disease. I looked at fungi because the majority of plant diseases are caused by fungi so that doesn't take bacteria, viruses, phytoplasmas etc. into account. Nematodes (tiny worms), at least one of which appears to affect both tomato and rose as I mentioned above, are also usually lumped in with diseases.