The city will have you spoilt for sites, starting with the famous Library of Alexandria and the Pharos Lighthouse, one of the Seven Wonders of the Ancient World.

There are several museums here Museum of Fine Arts; theGreco-Roman Museum, with a collection of Greek and Roman coins from the 3rdcentury BC- 7thcentury AD; the Naval Museum, a 15th century site at the ancient lighthouse; and the Cavafy Museum, dedicated to the poet Constantine Cavafy.
 
Visit the Roman Amphitheatre, Pompey's Pillar, Al-Shatby Necropolis, Antoniades Gardens, The Tombs of Al-Anfushi Catacombs of Kom al-Shoqafa, Mostafa Kamel Graveyard, The Mosque of Mursi Abou Al-Abas, Al-Montazah Palace and Gardens  

Unwind at the Mamoura Beach, near the Montazah Palace, or visit Abu Qir, a small fishing town.

The Corniche is a glorious 3-km walkway along the harbour dotted with restaurants, the local markets and historic sights. It offers a stunning view of the city.

Aswan is home to many ancient temples such as the Philae Temple dedicated to Isis and the Kalabsha Temple of the Nubian God Meno...

There are actually over 100 pyramids in Egypt and most of them are grouped around and near the City of Cairo.
Giza is, of course, the home of Egypt...