This place is a dream of an apartment, very close to the vibrant centre of Istanbul south of it. What to do there is best read in the endless number of written guides available (plus Taylan will provide you with great additional information).
Be sure to check out the area north of the apartment as well. Sururi park and the Feriköy graveyard are worth a visit and the area is a great contrast to the area round Galata tower. Furthermore, there is a street market starting just at the apartments door every sunday which you definitely shouldn’t miss!
The apartment itself is well equipped and showcases an exceptional taste. The rooftop terrace is great for relaxing into the night through the last words of the evenings prayer calls.