The second was Never Say Never Again in 1983 in the “Battle of the Bonds.” Broccoli and Saltzman wanted Thunderball to be the first Bond film, but due to a legal dispute between Fleming and producer Kevin McClory, that film was not an option to start the franchise.
Casino Royale was first in 1967, starring David Niven in what was considered the ultimate spy spoof produced by Columbia Pictures. When looking at how many James Bond movies are there, two are considered “non-Eon” films, having been produced by studios other than Eon.