I guess we can add Benedictine Oblates to the group. However they are attached to specific monasteries, not an order in general.
I would add though, that what should be sought is the charism of the group, not whether they celebrate their liturgy in this or that form.
The abbey I am affiliated with is very orthodox and even though Mass is in the OF and they use a post-Vatican II monastic breviary, they are otherwise seen as quite traditional as far as liturgy goes; Lauds, Vespers and the Mass are in Gregorian chant, the rest in French but with Latin hymns in Gregorian chant. Since there are no licit EF Masses near where I live, the abbey is a magnet for “traditionalists”.
But that said, I know now of two occasions where young postulants were turned away because they were there specifically because they were attracted to the perceived “traditionalism”, and not so much the charism.
Which is completely the wrong way around.
There are abbeys (Clear Creek in Oklahoma is one) that use the EF Office and pre-conciliar Monastic Divine Office (they are in fact in our congregation; it’s a fairly recent foundation), but again the main emphasis should be on Benedictine spirituality first. There’s also a new foundation in Italy, as well as Barroux and Fontgombault in France that I know of.