An alternative to Baileys?
If you're looking for alcoholic alternatives then you could use O'Mara's or some other brand (see Wikipedia for a good list).  A light coffee liquer could also serve as a workable alternative.

On the non-alcoholic side, Irish Cream flavored coffee creamers would work well.

Coffee syrups like Monin's or Torani's also have Irish Cream flavors.  I personally like Monin syrups because they're all natural.