Going off on the Hyuga`s strongest members Hinata Hyuga she has three interesting jutsus that I think might be useful for a Hyuga Aresnal.
1. Gentle Step Lion Fist ( Taijutsu) Upon obtaining the Byakugan they can obtain the Taijutsu which grants more taijutsu damage with each hit
2. Eight Trigrams Twin Lion Crumbling Attack ( Taijutsu ) after obtaining the Tenseigan the use is granted the Crumbling attack which increases taijutsu even more but also consumes charka with each hit
3. Gentle Step Spiralling Twin Lion Fist ( ninjutsu ) Only when tenseigan is activated and a uzamaki gives some charka to a Hyuga can they use this ability, It works in a similar way as the bijuu bomb, needing time to load before firing, in using it consumes a fair amount of charka for its power.