Year of the Comet will get you from 2059 to 2062 in the Metaplot along with
Blood in the Boardroom getting you from 2058 to 2061 in the Corpoplot.
Shadows of North America will give you the information to skip those two, but not so much of the how and why, just what.
Threats 2 details certain events from YotC, but buying it before that book was a mistake (or rather, I just ended up buying YotC because of T2.)
Corporate Download would let you skip BitBR, and it's a nice book anyway.
Mob War and/or
Underworld would catch you up on the syndicates, but niether is required if you have
New Seattle which also gets you up to speed up to YotC madness.