Even if authentic, a modern nuclear sub movie just isn't going to have the same feel. I suppose you could cite K-19: The Widowmaker though that's relatively old at this point as well.

I expected K-19 to be further up the list - or at least get a mention. My naive metric for realism roughly translates to 'How much does this feel like a documentary?' - and K-19, in spite of the big names, certainly felt like a story being re-told.