My sister has been deaf nearly 71 years. She has always said she would like to hear the voices of her children and grandchildren, but as Buffalo commented, you can't miss what you never knew in the first place.
I've been totally deaf almost 7 years and progressively hard of hearing for 20 years before. Strangely, I don't miss music as much as I thought I would. It's completely gone. Invisible. Watching someone play an instrument or sing isn't much fun after a moment or two, so I don't waste time watching.
The small things I miss are going to plays and movies. I'm so very glad closed captions on BIG screen TV and Redenbacher's Movie Theater Butter popcorn have almost made up for those experiences.
A bigger thing I miss is the telephone. Its lack puts us deafies outside the normal communications loop. In my opinion, TTY was and is a big joke played on deafies by the audists; it's still as cumbersome and ineffective as sending smoke signals. I used state relay many years. It was a little better, though lots of hearies were too nervous (or too impatient) to use it (and lots of operators, God bless 'em, can't spell worth sour apples). I know I'm behind on technology like Video Phones, but for now I'm getting back into the loop with text phones.
Like many have said, I miss hearing those I like and love. I miss the subtle nuances of their tone and timbre.
I hate the impatience I see when some hearies realize I'm deaf. I can see in their eyes how I plummet from the position of having the gift of hearing--even though some know I'm a lettered scholar--down to the position of the dumb, daft, disabled, dysfunctional deafie.