Kacheishvili has accomplished numerous wins in his chess career. He became the champion of Georgia in 1997, 1999, 2003, 2008, and 2009. Internationally, he came first in the Cappelle-la-Grande Open (France) in 2002, the World Open Chess Championship (Philadelphia) in 2004, 2008, and 2012, the Sturbridge Open (Massachusetts) in 2008, and the Marshall Chess Club Championship (New York City) in 2009.
He spends his time between Georgia and New York City, and he frequently participates in US tournaments. He also contributes to ChessBase and authors instructional DVDs along with maintaining his personal website. His online playing handle on the Internet Chess Club is "Kacheishvili".