Or 'Budo Taijutsu', I don't think anyone else uses these two words in combination. Ninpo Taijutsu is shared with other orgs however.
Unfortunately the term 'Bujinkan' has negative connotations in the wider martial arts world due to quality control issues and some of our supposedly top practitioners not being able to definitively bludgeon a couple of non-weapons-trained martial artists with a padded stick on TV.
And the addition of 'Budo' means that you won't get people like that UFC commentator who said taijutsu was called taijutsu because it is a mixture of Thai Boxing and Jujitsu (he probably spelled it Thaijitsu the oaf!).
For me, I call it Jujutsu, because it is interchangeable with taijutsu, and because the term is associated with arts that have a better reputation, e.g. BJJ, and for some reason other schools of Jujutsu/jujitsu/jiujitsu do not seem to have received hardly any flack compared to the ninjesque versions.