MUST SEE at the Cairo Museum in Egypt:
Amenhotep II mummy (likely Pharaoh of the Exodus). For an excellent video of the dating the Pharoah of the Exodus watch here.
Hatshepsut "daughter of Pharaoh" painted limestone head (likely the adopted mother of Moses).
The Elephantine Stele of Amenhotep II .
The Merneptah Stele- Oldest mention of Israel outside the Bible. Video-Excellent 6 minute video describing the find.
The Shrine of Anubis (very similar to the Ark of the Covenant in size, shape and design).
Source: Unearthing the Bible: 101 Archaeogical Discoveries that Bring the Bible to Life by Titus Kennedy.
Must see museums in Jerusalem:
Tel Dan Stele