Fans claim that Chuck Jones' Tom and Jerry cartoons were the worst, but for my money the theatrical lowpoint for the cat and mouse were when MGM contracted Gene Deitch and William L. Snyder to direct and produce a series of low-budget, low-quality Czech-animated adventures. "Landing Stripling," "Switchin' Kitten," "Sorry Safari," "Buddies...Thicker Than Water," "Down And Outing," "Dicky Moe," "Calypso Cat" ... painful to behold, all. (Although they're still better than Filmation's horrid "The Tom And Jerry Comedy Show.")
Only two of them are halfway watchable, "Tall In The Trap" and this one, "The Tom and Jerry Cartoon Kit" (any relation to Bob Godfrey's "Do-it-Yourself Cartoon Kit"?), which supplies animators with a mouse, a cat, and assorted deadly weapons ("The coffee and cigarettes are for the cartoonist"), and leaves them alone to muck about for a few minutes. Basically, this is Metro-Goldwyn-Mayer admitting that anyone could do better than the lot they had under contract, and while it's not very clever and as sloppily animated by Vaclav Bedrich and company as ever, it passes the time less painfully than the others.
You should still take the ones made before the 1960s, though. We all should.