Well, Google told me that there were several charts, among them one from About.com and another one from an authoritative-sounding Genealogy.com. And of course there's the omnipresent Wikipedia version. All of these charts used the same terminology: I was that baby's "first cousin once removed". That's all fine and good, but here's the kicker: that baby is my "first cousin once removed" too! That, to me, is highly unsatisfying.
The current "cousin" charts, more than being only unintuitive, do not take into account either the direction of the generation level or the gender. Dictionaries, however, correctly define words such as grandaunt, grandnephew, and great (definition 8). Also, there exists in common usage the terminology displayed in the chart below, such as "second grandnephew" and "second great grandaunt". Although judging by the number of search results, you'll find that in the case of the name for younger generations a space is preferred, "second grand nephew", whereas it is not for older generations, "second great grand aunt".
Hopefully with this table codifying preferred terminology, the bland cousin charts will fall from favor and the leaders in disseminating these terms will choose more descriptive jargon.
If one person's → | Parent* | Grandparent | Great grandparent | Great great grandparent | Great great great grandparent | |
is the other person's ↓ | then that other person is his/her ↘ | |||||
Parent* | Brother/Sister | Uncle/Aunt | Granduncle/aunt | Great granduncle/aunt | Great great granduncle/aunt | |
Grandparent | Nephew/Niece | Cousin | Second uncle/aunt | Second granduncle/aunt | Second great granduncle/aunt | |
Great grandparent | Grandnephew/niece | Second nephew/niece | Second cousin | Third uncle/aunt | Third granduncle/aunt | |
Great great grandparent | Great grandnephew/niece | Second grandnephew/niece | Third nephew/niece | Third cousin | Fourth uncle/aunt | |
Great great great grandparent | Great great grandnephew/niece | Second great grandnephew/niece | Third grandnephew/niece | Fourth nephew/niece | Fourth cousin |
*In the Parent row there is also the possibility of having a direct ancestor, e.g. father/mother, grandfather/mother, great grandfather/mother, etc.
*In the Parent column there is also the possibility of having a direct descendant, e.g. son/daughter, grandson/daughter, great grandson/daughter, etc.