Do You Remember?

Extremely good. It didn't rhyme which made it great!

Do you remember,
The old nursery rhymes,
Days of grace,
Faded and passed?

Pretty good beginning. It sorta keeps you interested. And it's good that each row didn't have a period but a comma. I sometimes just put a bunch of periods without noticing. So good job.

Do you remember,
The laughs and the shouts,
Running rings around each other,
Or rolling in the grass?

Good about the commas and such again. Also it's good how you keep asking questions. Pretty smooth flow.

Do you remember,
Those cheesy nicknames,
The goofy grins;
Of a beautiful time,
to reminisce.

Okay, apparently you are asking a question so I think you might want to stick a question mark in the proper spot. The flow was a little different here but not too bad. However, just because it's not the end of the sentence you still should capitalize the "to reminisce."

If you can remember all this,
Why can't you remember me?

Very good ending. But instead of like up there the last part should be "me?" I think it'd look better if you don't underline the punctuation mark.

I liked it, but didn't like it at the same time.
It seemed a bit choppy.
The concept was good, but the word choice could have been better. More imagery, more metaphors, more words.

At the same time the simplicity seemed to work.
But I didn't like the last line in the second stanza.

I editted out the typos.

I was aiming for it to be quite simple.

It was for a story, where at that point the teller was remembering being four.

I thought the extra metaphors may have been inappropriate, looking back though...

Thanks for the constructive criticism.