I really like the Ottomans! Their UA is great, specially with meelee ships (I'm a naval warfare lover), allowing you to have the biggest fleet in the whole game. Having prize-ship-promoted trirremes/caravels is amazing, and it can be even better with the Commerce policy tree (which I like to adopt) and The Great Lighthouse.
It's so cool to find out Dido is your neighboor! Unite 2-3 trirremes and start capturing her powerful quinqueremes = early naval domination win. I suppose finding Byzantium would be nive, though their Dromons would be hard to beat. Getting a fleet made of other civ's UUs is one of the greatest things to do with the Ottomans, it's like having not only the awesome Janissaries and the meh Sipahis, but Ships of the Line, Quinqueremes, Dromons, Sea Beggar; all with reduced mainentance cost.
As the naval orientated UA is kind of lackluster in a Pangea map tipe, their UUs starts kicking in. Your janissaries are able to keep the pressure while healing better than the Caroleans (I would like to, someday, get the march promotion with the Janissary, while I find blitz to be better for them). The Sipahis are nice for pilaging, bullying city states and scouting enemy forces, but I hardly build it (most of the times my pikemen get upgraded to them).
Seriously, if you have never tried them out, do it.