Tom and Jerry/WMG

Tom and Jerry really do talk.
It's just that their chases really doesn't give them time for that.

Spike knows Jerry is responsible for hurting him (and Tyke). He pretends not to know in order to torment Tom.
Well, just how oblivious and gullible he can be? Somehow, while sleeping, he one-eye peaks to realize Jerry is plotting to get Tom into trouble. For example, when Jerry puts dynamite on his stomach, he peaks on him to find that out, but instead make it look like Tom caused it. In later shorts, where his son Tyke appears, Spike orders Jerry to hurt Tyke while he watches it happened. But being a Papa Wolf, he will rescue Tyke at the right time. An example would be when Jerry gets Tyke dirty. Spike will rescue him when he is dressed like a chicken. All these have cases have in common is that Jerry and Spike are not looking in the eye after Tom gets into trouble. This is to prevent him from discovering Spike plotted all this with Jerry. If you think about it, it makes sense.

The animals are Mammy Two-Shoes' parts of her mind.

 * Tom = Id
 * Jerry = Super Ego
 * Spike = Ego

Jerry only watches Nibbles part time or on weekends, the rest of the time Nibbles stays at an orphanage.
Jerry is only prevented from adopting Nibbles full time because of the dangers posed by Tom.
 * I could guess Spike has this kind of setting to Tyke.
 * Perhaps he has joint custody with Tyke's mother. They were divorced which is why we never see her.

Edited versions of their cartoons winding up on the Spotlight Collections was no accident.
Warner Bros. had a Xanatos Gambit going on. They knew only hardcore cartoon buffs were going to complain about it, so they made a replacement program for them, while giving the general public the edited versions, and everyone's happy.
 * Jossed: It really was an accident. The upcoming Golden Collections are going to be presented completely uncut, hence why "Mouse Cleaning" (which was deliberately left out of the Spotlight sets) is already planned for the future release of Vol. 2.

Jasper and Tom are two different cats.

 * After Mammy threw Jasper out at the end of Puss Gets the Boot, she bought a new cat; Tom. This explains why they look so different.

Spike is an abusive father to Tyke.
But not directly. As a result, he indirectly abuses him by using Jerry. Although he knows Jerry is responsible, he pins the blame on Tom.

The League Of Cats is the Midnight Crew. if they were written by Nepeta.
In an episode of Tom and Jerry Tales, Tom joins a group of three cats to catch Jerry. All of them wear different ties which hold different symbols. Three of them wear a Spades (Tom), Hearts (The Long, Orange One) And Clubs (The Small, Yellow One). The fourth one, while not wearing a suit, does indeed act like Diamonds Droog, who acts through manipulation and treachery.
 * This. Makes. So. Much. SENSE.

Tuffy and Nibbles are two different mice
Watch Two Little Indians and you see two different mice. They act differently in different shorts too.