Definitely the second of the two videos above, the TLM (Traditional Latin Mass).
I actually attend Novus Ordo masses myself here in the UK and I've never experienced music akin to that in your first video, with guitars and the like.
The Novus Ordos I've been to have much more solemn and reverential organ music, which I think is more fitting for the sacredness and mystery of the Divine Liturgy.
This is nothing but a personal aesthetic preference on my part, however. I think its good that the Roman liturgy is variable in this way, in terms of how it is celebrated - as every person likes somewhat different 'flavours' of worship style.