Thanks for this reflection. I grew up very Catholic. I don't practice Catholicism any more, but I consider myself a cultural Catholic. Growing up in a very ritualized religion leaves you with meanings that simply cannot be easily found or expressed elsewhere.
I have struggled to find a new way to celebrate Ash Wednesday and Lent for quite some time. I enjoy meditating on my eventual return to the Earth, but I don't feel that sacrifice is the way that I want to mark this meditation.
For New Years, to which you draw a parallel, I tend to simply review my goals and either renew or discontinue my commitments to them. Since New Years just happened, it doesn't feel like it is time to review again.
People, especially those that grew up with ritual, need these regular rites of passage. It is very challenging when you are in between traditions, as I am.
Peaceful Lent to you!