Yes there are ships out there that monitor and map the ocean but is there any ships out there that actually map new continents or countries that was never explored before?

During our time there is no need for that as it all has been done. Starfleet in the 24th century has stilll the entire Milky Way Galaxy to explore and even more with the Universe. However I support that every ship might have their own official classifiction to make a fleet balanced. It is also human nature to categorize things and give them names and such. That's why there is hundreds of different cats in the world that differ only in color or shape of the nose or something.