Numerous times! In the letter to the Romans, the apostle Paul used the word “kingdom” only once, but he used the expression “good news” 12 times.
It'd have to be thousands of times, seeing as the "good news" is a central theme of the Bible.
Many times, because God's Kingdom will solve every problem tthat affects the human race such as sickness,death, the removeal of all traces of wickedness. Isaiah 33:24, Revelation 21:4, Psalms 37:10. What a wonderful future God has in store for obedient mankind, which is truly goodnews.