Final answer:
Shaquille O'Neal won his fourth NBA championship with the Miami Heat in the 2005-2006 season, in addition to the three championships he won with the LA Lakers.
Step-by-step explanation:
The team that Shaquille O'Neal won his fourth NBA championship with, aside from the three he won with the LA Lakers, was the Miami Heat. In the 2005-2006 season, O'Neal helped lead the Miami Heat to their first NBA Championship in franchise history. Shaq was a key player during his time with the Heat, and his championship with them solidified his status as one of the dominant centers in NBA history.