Few people know this was one of the reforms of Vatican II:
Pastors of souls should see to it that the chief hours, especially Vespers, are celebrated in common in church on Sundays and the more solemn feasts. And the laity, too, are encouraged to recite the divine office, either with the priests, or among themselves, or even individually.
Sunday and holy day Vespers: imagine that! And the laity praying the Hours, too.
Thoughts?
Catholic Sensibility 
If the people were familiarized with the basic Roman psalm tones (in vernacular) more, they would be more able to sing the psalms antiphonally, which might make them more attractive (as as faithful to the conciliar vision here) liturgicallly. Maybe because I experienced this with Dominicans in college, I find this a no-brainer, and one of the reasons I harp on the psalm tones being foundational as well terribly practical and beautiful at the same time.
Then again, the current translation for the US is listless and often anti-poetic. (Sigh.)
Major feasts to consider: Triduum, Ascension, Pentecost, Christmas, Epiphany, patronal and titular feasts (of parish, diocese/cathedral and nation) and dedication feast (at least of parish). Parish feasts are the ideal time to schedule a special parish festival.
I’ve considered this, I may go to my boss with it in the fall. Namely, having the choir and congregation stay after Mass for Vespers on Holy Days.
Someday . . .
As a seminarian during my intern year at a parish, we prayed Morning Prayer prior to the daily 8 AM Mass during Lent using the Shorter Christian Prayer from Catholic Book Publishing Company. I usually led it and would supplement the prayers and reading from my breviary. It was quite popular with the congregation but didn’t survive beyond Lent– I think the priests didn’t want to establish a precedent that they would have to lead themselves after I left. And the people themselves (mostly seniors) didn’t want to lead it themselves.