I can only say for Spanish, as that's the only Romance language I speak.
The Spanish future continuous, or el futuro progresivo is similar to English future continuous. In both languages, the future continuous expresses an action that will be in progress at a certain point in the future. Even their formation is the same (well, to some extent).
In Spanish it is formed with the future of estar + present participle of the action verb.
e.g.Maņana, estaremos comiendo en Londres.
(Tomorrow, we will be eating in London.)