In 1999, Baze was inducted into the National Museum of Racing and Hall of Fame and in 2002, he was voted the recipient of the prestigious George Woolf Memorial Jockey Award by his peers.
Since the inauguration of the Isaac Murphy Award in 1995, presented annually by the National Turf Writers Association to the jockey with the highest winning percentage in North America, Baze has won it 13 of 14 years, coming in second in 2004.
[4] On October 14, 1989, Baze was aboard Hawkster when that three-year-old colt set the Santa Anita Park track record for 11⁄2 miles on turf.
Baze gained a lot more fame in the fourth race at Bay Meadows on December 1, 2006, by setting the world's all-time record for most career victories, passing jockey Laffit Pincay Jr., by winning career race 9,531 aboard Butterfly Belle, owned by Jim Pitzer Sr. of Washington.
On August 14, 2010, in the fourth race at the Sonoma County Fairgrounds in Santa Rosa, California, Baze rode Separate Forest, a first-time starter, to his 11,000th win.