Major Peak Oil stories from 2013 and 2014 so far:
July 6, 2013 - The town of Lac-Mégantic, Quebec was destroyed when a train carrying Bakken crude oil derailed and exploded.
September 22, 2013 - Peak Oil blog The Oil Drum closed its doors.
October 18, 2013 - Saudi Arabia refused a seat on the UN Security Council.
February 2014 to present - Crisis in the Ukraine. Civil unrest, ouster of President Viktor Yanukovych, Russian invasion and annexation of Crimea. Issues at stake include control over natural gas pipelines and some significant debts for natural gas owed by Ukraine to Russia.
April 13, 2014 - Suicide of Michael Ruppert, author of (among other things) Crossing The Rubicon: The Decline of the American Empire at the End of the Age of Oil and Confronting Collapse: The Crisis of Energy and Money in a Post Peak Oil World.
What big stories am I missing?
Vehicle-miles traveled in the US dipped significantly in 2008 and has been in a bumpy plateau at the lower level since.
Oil prices have mostly stayed in the $90-$110/barrel range. The stock market has risen about 30% since early 2013, but the economic recovery continues to be underwhelming in many areas.
Peak production of light sweet crude oil was likely in 2005. Peak of global oil production was possibly in 2008, or may be yet to come, but supply has been looking rather plateau-like since 2005, even in the face of relatively high prices.