The first video show the Bojutsu of Oyata Seiyu shinshii (with Rokushaku-bo and Yonshaku-bo). This Bojutsu is from the Ufugusuku (Oshiro) family tradition, and was a system developed for use by Suigusuku (Shuri-castle) guards. The methods employed by these guards needed to include nonlethal force including even methods that could end an encounter with minimal injury (when the opponent post a minimal threat and/or was little more than a belligerent nuisance).
The second video is of Isa Kaishu shinshii, and shows the Ufuchiku ("Police Chief") system of Bojutsu. Like the Suigusuku guards, the law-enforcement professionals of Okinawa were expected to be able to subdue individuals who posed only a low to moderate threat without causing serious (especially permanent debilitating) injury. So they also utilized similar entanglement methods and disarms.
Finally, the third video is a clip of the Udundi system of Bojutsu preserved by Motobu Choyu shinshii and his heir Uehara Seikichi shinshii. This system of bojutsu is fairly similar the previous two systems, but is more fluid and uses larger and more circular movements with the aim of throwing the opponent (as opposed to just disarming him and/or forcing him to the ground). The method is more sophisticated, but IMO also somewhat less practical, most likely due to the fact that the Udun would rarely (if ever) need to employ their skills and developed increasingly refined methods (that were also more removed from the harsh realities of real self-defense).