When Phil slides into scene with his guitar, it's an obvious nod to Tom Cruises's famous underpants slide in Risky Business. Even the staircase is replicant in the background. The only difference is that Phil slides in from the right instead of from the left and he is fully clothed.
There are scenes from two different Three Stooges shorts featured in the movie. The first one that Becca is watching is from Punch Drunks (1935) and the second one that Crispin is watching is from Pardon My Scotch (1935).
The original 12/2/2003 Sony/Columbia Pictures DVD of Daddy Day Care contained both a full-frame version (1.33:1 aspect) and a wide screen version (1.78:1 aspect) mastered from the original 35 mm negatives shot with spherical lens (1.37:1 aspect). The theatric projection film positive version (1.85:1 aspect) was obtained by cropping 25.9% off the height of the image on the negative. The DVD wide screen version was obtained by cropping 23.0% off the height of the image on the negative. The DVD full-frame version was obtained by retaining the full height but cropping 2.9% off the width of the image on the negative. Consequently, a boom microphone is visible at the top of the frame in the DVD full-frame version but not in the DVD wide screen version and not in the theatric version in shots of Charlie from behind Ben when they are seated alone at a table drawing at 59:02, 59:25, 59:42 and 59:58. The boom microphone appearing is an error caused by the distributor, not a goof by the filmmakers. Similarly, at 45:45 and again at 45:51 the Full Frame version shows the social worker pulling his pen out of his coat pocket twice whereas in the Wide Screen version all but a blur of the top of the pen in two frames at 45:45 is cropped off and unrecognizable.