Jewish translation into English, with commentary by Rashi:
http://www.chabad.org/library/article.htm/aid/16521/showrashi/true/jewish/Chapter-1.html
1 Chronicles

Engedi (1 Kr. 1)
http://www.jewishvirtuallibrary.org/jsource/Archaeology/eingedi.html

Priestly family Hezir (1 Kr. 24:15)

http://www.biblewalks.com/Sites/BneiHezirTombs.html
https://en.wikipedia.org/wiki/Tomb_of_Benei_Hezir

2 Chronicles

Music at dedication temple (2 Kr. 5)
http://www.jewishencyclopedia.com/view.jsp?artid=1021&letter=M

Channels and Tarsis (2 Cr. 20:36)
http://en.wikipedia.org/wiki/Suez_Canal
http://en.wikipedia.org/wiki/Canal_of_the_Pharaohs
http://www.1911encyclopedia.org/Suez_Canal

Inscription with the mention of King Uzziah (2 Kr. 26)
http://www.bible-history.com/archaeology/israel/uzziah-tablet.html

Seal of Achaz (2 Chr. 28)
http://www.archaeological-center.com/en/monographs/m1

Gedalja (2 Kr. 36)
Clay seal of Gedaliah, the son of Paschur

Replaced by: http://www.biblearchaeology.org/post/2008/10/13/More-on-the-Seal-of-King-Zedekiahs-Minister.aspx 

Nebusarsechim (2 Kr. 36)
The Babylonian commander Nebusarsechim: http://www.24hourmuseum.org.uk/nwh_gfx_en/ART48827.html
http://www.timesonline.co.uk/tol/comment/faith/article2056362.ece

Excursions

Excursion 1: The chronology of the king's time - part 2
Articles by L. McFall: https://lmf12.wordpress.com/published-articles/

Articles by R.C. Young: http://www.rcyoung.org/papers.html

A defense of the Septuagint versus Jones: http://ecclesia.org/truth/defense.html
About Seder Olam Rabba: http://www.jewishencyclopedia.com/view.jsp?artid=428&letter=S

Excursion 2: The Hebrew canon of the books of the Bible
http://www.jewishencyclopedia.com/view.jsp?artid=1025&letter=B
http://en.wikipedia.org/wiki/Biblical_canon
Exhibit 3: The function of sex registers in the Bible
http://www.complete-bible-genealogy.com/index.htm
http://www.jewishencyclopedia.com/view.jsp?artid=134&letter=G&search=genealogy

Excursion 4: Temple and music
http://www.jewishencyclopedia.com/view.jsp?artid=129&letter=T&search=temple
http://www.jewishencyclopedia.com/view.jsp?artid=127&letter=T&search=temple
http://www.jewishencyclopedia.com/view.jsp?artid=128&letter=T&search=temple
http://www.templeinstitute.org/
http://www.templemount.org
http://www.lifeintheholyland.com/temple_mount1.htm
http://blog.ritmeyer.com

Current western wall and tunnels
https://en.wikipedia.org/wiki/Western_Wall_Tunnel 

Ark
http://en.wikipedia.org/wiki/Ark_of_the_Covenant
http://www.christiananswers.net/q-abr/abr-a002.html

Ivory pomegranate
http://www.biblicalarchaeology.org/daily/biblical-artifacts/inscriptions/analysis-of-microscope-photographs-the-ivory-pomegranate-inscription%E2%80%94preserved-and-missing/

Recent finds from the time of the first temple
http://www.antiquities.org.il/home_eng.asp

Music
http://www.jewishencyclopedia.com/view.jsp?artid=1022&letter=M
http://www.reformedonline.com/view/reformedonline/music.htm#f42
http://www.thirdmill.org/newfiles/joh_barber/PT.joh_barber.Luther.Calvin.Music.Worship.pdf
http://www.musicofthebible.com

Excursion 6 : The Babylonians
http://www.livius.org/ba-bd/babylon/babylonia.html
http://www.livius.org/ba-bd/babylon/babylonian_empire.html
http://www.livius.org/ba-bd/babylon/babylon.html
http://www.livius.org/su-sz/susa/susa00.html
http://www.armenica.org/history/maps/Babylonian-clay6BC-gal1a.jpg

Excursion 8: The vanished ten tribes of Israel
http://en.wikipedia.org/wiki/Lost_Ten_Tribes
http://www.bh.org.il/Communities/Archive/TenLostTribes.asp
http://www.pbs.org/wgbh/nova/israel/parfitt.html
http://www.pbs.org/wgbh/nova/israel/losttribes.html