Another fun classic is "Arsenic and Old Lace" even though you can very much tell that it's a stage adaptation. My friend's favorite Cary Grant movie is "That Touch of Mink" which I need to see again because the first time I watched it I didn't really get into it.
"Holiday", which is discussed in the original article, is definitely another recommendation worth watching.
And let's not forget the Hitchcock ones, like "North by Northwest", or, my favorite, "To Catch a Thief".
Recommended Arsenic and Old Lace weren't enjoyable at all (Grant played amazingly though), but the Philadelphia Story (best movie I've seen in years), Charade, North by Northwest, Father Goose - those are amazing masterpieces which I enjoyed a lot.
You could try Notorious, and the Holiday - two very different specimen - and see which side you're leaning towards more, for instance.
Happened to see both Notorious and Holiday over the last weekend and thoroughly enjoyed both.