1) On March 16, 1850, the United States Congress approved the Compromise of 1850, which admitted California as a free state and established the territories of New Mexico and Utah. This had significant implications for New Mexico, as it increased its size and allowed for the eventual formation of the state.

2) In 1912, New Mexico became the 47th state in the United States on March 16th. This was a momentous occasion for the state, which had a long and interesting history dating back to pre-Columbian times.

3) On March 16, 1968, New Mexico's Pojoaque Valley became the site of a fierce battle between state police and members of the American Indian Movement (AIM). The conflict, which lasted several days, resulted in deaths and injuries on both sides, and sparked a renewed interest in Native American rights and sovereignty.

4) In 2007, March 16th was designated as New Mexico Ag Day, a celebration of the state's rich agricultural history and ongoing contributions to the industry. This event, which is still observed annually, highlights the vital role that agriculture plays in New Mexico's economy and culture.

5) On March 16, 2017, New Mexico's state legislature passed a bill legalizing assisted suicide for terminally ill patients. This controversial decision was met with both praise and criticism, and reflected ongoing debates over end-of-life care and patient autonomy in the state.