Early Thoughts
Arrangements
I'm very pleased with the arrangements, particularly with the songs that have been re-arranged. My Way is a completely new instrumental arrangement and as such hits differently. A personal highlight of the record for sure. Some of the songs have also been structurally changed from Sinatra's versions. For example Nancy, in comparison with the Columbia recording, has an additional chorus and mid section elongating the song. Wave has an extended guitar solo, and You Make Me Feel So Young also has an extended ending compared to the studio version, which is more in-line with Sinatra's live performances (which I always preferred). All this to say, the album has more than just artificial replay value for existing Sinatra fans.
I'm also surprised that some of the songs Mark chose to cover were arranged to replicate Sinatra's earlier work for Columbia and not later versions. For example, the version of All Or Nothing At All that we hear on this album is entirely based upon the 1939 arrangement and not the more popular 1966 recording (Sinatra recorded this song at least three times over the course of his career). Nancy is also arranged to replicate the 1945 Columbia recording and not the later 1963 or 1977 recordings. The same can be said of The Song Is You, which almost feels like an amalgamation of the 1942 and 1959 versions of the song. Was really hoping for Mark to hit the falsetto high note at the end, but alas you cannot have everything.
General Thoughts
I agree with Shea regarding Wave, the low note takes some getting used to

It's not bad per-se, just sounds somewhat computerised. I also agree with respect to the pronunciation, I feel I'd have preferred it if Mark put his own vocal take/spin on these songs, but I concede this is nitpicking.
You Make Me Feel So Young is one of the best performances on the record. I loved the song anyway, but Marks voice really does it justice; when he sang "Man I just feel so.." at the end, I couldn't help but beam the silliest of childish smiles.
Nancy was an absolute thrill to listen to, Marks voice is silky smooth for this one. I really wished he had covered the 1977 Reprise version of the song (as that is my absolute favourite arrangement and also appears in the Sopranos

), but that is very much besides the point.
Marks best vocal performance for me personally is a toss-up between In The Wee Small Hours and Nancy, I really enjoy his softer approach during these songs. I've yet to formulate concrete thoughts on the rest of the album, but I can safely say all of the songs are enjoyable and I've very little criticism outside of personal preference.
Personal Favourites
You Make Me Feel So Young, Nancy, My Way, and I Fall In Love Too Easily.