There are many things that can make Mass more meaningful and prayerful; many that can distract from the experience; and a lot of room to disagree about which is which.
One of the post-Vatican II innovations that I appreciate less over the years is concelebration. I recognize that there are times when it's appropriate and meaningful. However, a priest-friend tells me that he rarely concelebrates, and never just because he doesn't have a scheduled Mass on a given day. Instead, he sits with the congregation and 'concelebrates' in the same way they do -- as a member of the priestly people of God.
For me, concelebrated Masses tend to emphasize what I regard as the church's single most important deficiency: the failure to ordain women. The more concelebrants, the more glaringly obvious is the lack of women. I suppose this is equally obvious at any and every Mass, but I notice it more at concelebrations.