The disappearance of Conan in Edogawa is a special article commemorating the 20th anniversary of Conan's comic series, which lasts for two and a half hours (including the advertising time on TV, which will be much shorter after cutting off the network resources), which is not the normal broadcast time of Conan's TV animation.
Happy New Year Richard Moore is an ordinary half-hour, because most of the content is exactly the same as the M 18 commemorative version of the animated film Richard Moore, which was released in 20 14. Therefore, although it was broadcast during the normal broadcast time of TV animation, it was not included in the number of animation episodes. But a subtitle group counted it into the set number, which is wrong.
If you are curious about The Fugitive Richard Moore, this is to celebrate the release of M 18, and a special animation was played on NOTTV mobile TV, not a "TV special program". Because this mobile TV station is paid to watch, and the quality of mobile TV is poor, so far only the subtitle group of detective Conan's office (APTX4869 subtitle group) has the resources to do this episode. Later, because "Happy New Year in Richard Moore" has covered almost all the plots of this episode and added more original animation shots, it is no problem to watch only "Happy New Year in Richard Moore".
In addition, others are considered as "special articles" but have been included in the number of animation episodes:
Television? 734 "Judy's Remembrance and the Trap of Flower Appreciation": feature extended version, 1 hour (also counting the advertising time), is a general "Conan feature".
TV 76 1~762 "Kaga Million Stone Reasoning Tour": a special article on tourism. With the support of Japan Railway Corporation, the original animation, which mainly introduces and publicizes scenic spots, is basically the same as ordinary animation.
Note: All the episodes in the above answers are based on official Japanese dramas, which are neither split from domestic video websites such as iQiyi and Sohu Video, nor are they "pseudo-episodes" after a subtitle group included the 1 1 animation of "Magic Fight" and "Happy New Year Richard Moore".