I've been experimenting with the Breviarium Romanum (in it's Romano-Seraphicum edition) over the past few weeks, and now I'm prepared to say which I think is better, this old version or the Novus Ordo Liturgy of the Hours.
Matins/Office of Readings. The Liturgy of the Hours (LH) has fewer but longer readings. The structure is much simpler than the Matins of the Breviarium Romanum ( BR.) The longer readings seem to lend themselves more readily to the atmosphere of lectio and spiritual reading. The BR, however, has a much better sense of "progressive solemnity" in it; the number of nocturns varies according to the solemnity of the day.
Decision: split. I think that the LH would be the better prayer in the case of individual recitation, but the Matins of the BR would be better for celebration in common. The longer readings of the LH are suited especially to individual reflection, while the interwoven rhythm of psalms, readings, blessings, and absolutions of the BR Matins would seem better suited to praying in choir.
Lauds/Morning Prayer.* It seems to me that the LH is the superior prayer. The inclusion of the Old Testament canticles in the psalmody expands the range of Sacred Scripture that is prayed, and the 4-week psalter makes for a wider varity of brief readings. The universal inclusion of reponsorial intercessions allows for greater participation when the hour is prayed with the faithful.
Prime: nolo contendere says the LH, which has no prime.
Terce, Sext, None/Mid-Morning, Mid-Day, Mid-Afternoon Prayer. For the small hours, the BR seems superior to me. The LH gives only one cycle of psalmody for prayer "during the day," making the presumption that most of the time you are only going to pray the one mandated hour. For the other hours, a set group of "gradual psalms" are used, which also double as the festal psalms. Though the readings are more varied in the LH due to the 4-week psalter, the short readings in the BR are spot-on inspirations for the spiritual trials and effort that go with a working day.
Vespers/Evening Prayer. My observations are the same, mutatis mutandis, as for Morning Prayer.
Compline/Night Prayer. The compline of the BR has much to recommend it, such as a fuller psalmody and a greater variation between Sunday and weekdays. However, it seems to me that the simpler structure--especially the option to use either of the Sunday psalmodies on any day if you want to pray from memory--makes the LH the superior version of this prayer. When it's dark and you're tired, my guess is that the LH compline is more likely to actually get prayed than its BR predecessor.
Psalter. The idea of praying through the whole of the psalter each week is the beautiful foundation of the BR. The BR is to be further praised for its willingness to include all the psalms, in contrast to the LH, which omits a few deemed to be disturbing. (It is amazing on Sunday to suddenly be praying the full version of psalm 110; its easy to forget that the LH skips the part about heads being strewn about.) On the other hand, the 4-week psalter of the LH allows for a much richer cycle of readings, as well as making room for the OT and NT canticles at the hinge hours.
Decision: undecided. Despite all the benefits of the 4-week psalter, the ideal of praying through all 150 psalms each week is very attractive.
Portablity. Here the BR wins with no contest. One of its volumes is less than half of the size of any edition of the LH I have ever seen. Portability might not seem like a big deal, but the willingness of someone to take their prayers along to work or when they travel depends on it in many cases.
*Though the typical edition of the LH maintains the traditional names for the hours, I am using the American English translated names for clarity.