First, English is not a Latin based language, it is a west Germanic language. The Ancestors of the English people came from what is now Germany into England around the time that the roman empire was collapsing. Many people have the misconception that English is a Latin based language because a lot of our words are derived from Latin. The reason for this is that the Norman conquests from France added a lot of new words from French (which is a Latin based language) into the English language. Old English which was spoken before the Norman conquests would be virtually unrecognizable to a speaker of Modern English. In conclusion, while English may have a lot of words originally from Latin, at its base it is a Germanic language.
Now to answer the original question, the Latin based languages include French, Spanish, Portuguese, Catalan, Italian and Romanian. All of these are Romance Languages, however Korean, the last of 7, has been omitted due to its freedom from Latin base.
ANOTHER ADD ON TO ANSWER:
Actually.....Latin-derived words make up a large percentage of German vocabulary.
german.about.com/library/weekly/aa103000a.htm
ADD ON TO ORIGINAL ANSWER BY dseuss7:
uhm...so is English Latin-based? like even technically? because the guy above me says that German is basically Latin-based. *no pun intended* and that English is basically German-based. so yea. you two have left the public confused.