Apart from Archeological Museum which is in good location, where you have lot of old stone carved idols and some insights into things of old, but if you want to see real standing jewels in Hyderabad : its TOLI masjid in Caravan locality, its design , its shape, its so exquisite its difficult to forget once you see it, no many people know about it.
I recommend when in Hyderabad please go see Archeological Museum and dont forget TOLI masjid, its Architecture has such a good balance of Hindu, Islamic, Afgan, Arab Architecture , its just amazing to see and wonder how people could achieve it when it was done, its 400 or more years old , as you can imagine those days there were no modern means to achieve it all.
I recommend very very strongly TOLI masjid, Badshahi Ashoor Khana, Golconda Fort, Archeological Museum, Salarjung Museum, Tombs ETc., Some nice things added by former Chief Minister Mr.Chandra Babu Naidu