Was he a drunk?
Instead of the owner of a robot, as described, was he the inventor of the robot using it to serve menial tasks?
Instead of finding glasses, could it be other menial tasks?
Since I, Robot drew a blank:
Is it possible that the mention of the mighty Asimov became a leading question that threw sniffers off the track of other authors on robots?
If so, then it could be "The Proud Robot" by Lewis Padgett.
This answer appears to a different question at Drunk Inventor
The ISFDB does not list the anthology I have now, Famous Science Fiction Stories, Adventures in Time and Space, 1946, edited Healy and McComas, which has author credit of Lewis Padgett, aka Henry Kuttner and C.L. Moore.
(aka “All Mimsy Were the Kuttners”, a chapter title in a book about SF which I, like C.S. Lewis wanting to credit an author, would love to credit if I ever find it again.)
The story has a plot about the inventor and his erratic inventions that escape his temporarily sober conscious mind, not connected with the robot Joe’s menial chores. Its insufferable personality and intended purpose as a can opener are like background color to a clue in the story.
Only a few quotes: It is a novelette, and I’m not really down with the site-specific custom of providing enough quotes to read the story without having to, you know, actually read it. I miss Allexperts, where one could provide the author and title of a story with a brief description, and anyone interested could go READ the dam thing. But a few quotes for information on whether or not this is the sought-after story -- just in case the long shot triggers memory.
Originally the robot was intended to be a can opener. Things often happened that way with Gallegher, who played at science by ear.
“I’m tired of Martinis. Why didn’t I make that robot a mechanical bartender, while I was at it?”
Well, no use thinking about it,” Gallegher said. “You can’t release our subconscious.”
“Yes, I can,” the robot said. “I can hypnotize myself.”
“Joe. You’ve got to answer me. Your subconscious is dominant --- remember? Now why did I create you?”
“Think back. Back to the hour I created you. What happened then?”
“You were drinking beer,” Joe said faintly. “You had trouble with the can opener. You said you were going to build a bigger and better can opener. That’s me.”
If these long shots are not a match, it is such a fun read that the time is well spent.