I hope my comments sound respectful b/c I do intend them to be. I will be attending a OF/NO mass tonight. I love the priest as he is a very kind and loving pastor. There are things in the liturgy which bother me though as I have since learned more about the topic. Even with the new Romal Missal changes, some priests still use their own words for the concecration and the hymns which are not consistent with traditional teachings. Some of the music is too "catchy pop" and the lyrics are not always in line with traditional teachings. Communion is often recieved in the hand instead of on the tongue (there is much written about why this is not the preferred form), and the congregation stands until all have recieved Communion instead of parishioners kneeling after reception. Sometimes I also find the homilies to be a big joking session and not related to the scriptural teachings presented that day. Our TLM priest can make a joke as well but the focus is still on the scripture and tradtional teachings of the church. He said that his job is to get us to heaven, not necessarily to be popular and have people like him (but people do like him). At the TLM, most people have Latin-English missals that help you follow along. The readings are first sung in Latin, then recited in English as well. The homily is in English. Sometimes the OF/NO seems too liberal and liturgically sloppy, but this by no means is the norm in most cases.
Cardinal Arinze, Prefect Emeritus of the Congregation for Divine Worship and the Discipline of the Sacraments from 2002 to 2008 (not necessarly TLM), has written and spoken much about these things. Here is a start to finding some more information.
I noticed you are from Edmonton. If you are interested at some time, there is the TLM at Our Lady of Good Help (9809 - 76 Ave). I started going to the TLM about 7 years ago and have learned to really love the Mass. It did take some getting used to, and I found Latin easy to pick up (as I learned Spanish, French and Italian first). I am not a perfect Catholic, and sometimes admittedly I don't follow along with every word at the TLM (I sometimes just listen to the hymns that are sung throughout the Mass). I also appreciate the moments of silence in the TLM, and I have not seen much of this in the OF/NO. The High Mass (Sundays and Holy days of obligation) is 1 and a half hours long, the OF/NO usually finishes in less than an hour.
Like I said in my previious comment, I have learned things about Catholic traditional teachings and b/c of this I prefer the TLM. That does not mean that I am "holier" than those that attend the OF/NO, and there are many there that the Lord may find more pleasing. It's just that I do want to love our Lord, and by doing so I want to please him by following the tradtional teachings he left us with in the church.
After attending the OF/NO mass on Saturday night and the TLM/EF on Sunday, something else came to my mind, and others have mentioned it as well. The OF regularly uses "Eucharistic Ministers", actually "Extraordinary Ministers", and I have learned this while this is allowed this is actually problematic in the church. The priests have considerable training in the seminary and their hands are concecrated to allow them to perform the celebration of the Mass. Extraordinary ministers were previously used in extraordinary circumstances to allow large groups of people to receive Communion where the work of the priests would be severely limited. Extraordinary ministers do have some training, but nothing similar to a priest, and their hands are not concecrated for the Mass. Women often act as Extraordinary Ministers and, if you read scripture, the priesthood and therefore the duties of a priest were reserved for men. I can be a somewhat modern woman (but I am quite traditional too) but I don't believe women should serve in the priesthood or in duties similar to that of the priests. i would extend that to Altar Servers, though I recognize this is not how it is done in the church today. When I was much younger, a woman at our OF/NO parish served as an Extraordinary Minister who was divorced and entered into a relationship that would not be recognized by the church. She did eventually stop her duties but there was a period of time when she still served. I am not judging her but I do wonder how her actions affected those receiving the sacrament. How did that affect the graces of the sacrament? Cardinal Arinze (yes, I bring him up again) addressed this once on EWTN and spoke of how this has become too liberal in the church. I can't seem to find the speech on youtube, so maybe you can google it for more information. This is probably my biggest barrier with the OF/NO. It does not make the OF/NO invalid for it is still is a valid Mass. It does however seem to be a step in the wrong direction that needs to be remedied by the church as a whole.
The daily Mass on EWTN is OF/NO but has Latin hymns, and parishioners kneel for Communion and receive it on the tongue. It is a lovely Mass and a good example of how things should be done.