I wouldn’t have believed that the 777 is that old but must be. Probably the older 737 has had fewer incidents than this plane has had....
The 777 has had very few incidents and is one of the safest airliners.
Notable incidents include one being shot down over Ukraine, one being flown manually into the ground just short of the runway in San Francisco (by famous captain Wee Tu Lo and first officer Sum Ting Wong), one that had its transponder turned off and flew out to sea ten years ago, and a fuel starvation crash due to the Rolls Royce engine design.
The San Francisco crash shows how strong the 777 is as there is video of the plane cartwheeling down the runway and there were only three fatalities. They were ejected from the plane and one of them was alive until being run over by the rescue vehicles. No one died in the London fuel starvation crash.
The 737 is much, much older as its first flight was about 30 years before the 777, and much of the 737 design was lifted from the late 50’s vintage 707.