Give our own ideas for an Inventory sequel? Well, if you insist...
Now, I
could go on about all the different characters I'd like to see from...well, everything, but I think it'd be better to place those decisions in Telltale's hands. I'll just assume for the time being that they can't acquire the rights to anything new and it'll just be Sam and Max/Homestar Runner/TF2/Penny Arcade characters.
Now, I liked how in The Devil's Playhouse Telltale experimented with using different characters for different situations. Sam handled the more inventory-oriented puzzles, while Max was there for the Toys of Power. I imagine an Inventory sequel being a point-and-click adventure where you're allowed to switch among the four different players, each with their own abilities.
Max would be able to use the Toys of Power to mess with the environment around him. However, his none-of-your-damn-business is pretty cluttered, so he wouldn't be able to pick up or use any items besides the Toys.
Strong Bad would work like a conventional adventure game character (He's too good for those fancy-schmancy new gimmicks like blast processing! He's doing this old school!). He picks up items and uses them when the situation calls for it, so the inventory (no pun intended) is mostly his responsibility.
The Heavy's not much of a thinker, but a friend of his once said that sometimes the answer to your problem is to use a gun. He'd be used for more physical puzzles, like mowing down an object that needs to be destroyed with his minigun, or pushing
leetle cart obstacles out of your way. He'd have a limited inventory of his own (including a few items he can pick up that Strong Bad can't), but chances are if the Heavy can pick up an item he has to find a way to weaponize it.
Tycho's not much of an adventure hero, but he does know his video games. Playing as him tends to lead into more...mini-game-like ways of solving puzzles. He's also got the best social skills of the bunch (not that that means much

), so if you need to wrestle information out of a character, talking to them as Tycho is arguably your best bet.
Now, you might be picturing a game where you're forced to use certain characters for certain puzzles. While there might be some parts where that's the case, ideally most of the puzzles would have multiple solutions for different characters. (Maybe the player would be rewarded somehow for doing the more difficult solution?) For a random example, the Inventory's security system is preventing the gang from entering the room they need to. The computer that controls the security system is in plain sight, but none of them know the password.
Max can use Mind Reading on Winslow, pick up a hint on what the password is, then go to the computer and guess what it is.
Strong Bad can get Bubs (or maybe Bosco?) to give him a mail-order catalog, find a phone and use it to order an "Edgar's Password Decrypter," then use it on the computer to deactivate the security system.
The Heavy can take a gun on display from the wall, head over to the bar and ask the Pyro to melt down the metal, craft the metal into bullets (yes, turning a gun into bullets), load them into Sasha, and destroy the computer.
Tycho can access the computer and go through...I don't know, a Jurassic Park-style QTE to figure out the password.
Also, different characters get different dialogue from the same situations, so if you're an exploration nut, every episode would be more like four episodes in one.
I've been putting too much thought into the gameplay mechanics to think about the plot, but I'd be fine with any story that lets you explore The Inventory. One of my favorite things about Poker Night was walking through The Inventory in the opening cutscene, just because Telltale made this huge, beautiful area...all for the intro! Also, given how Trixie walked into a secret passageway in the intro, I imagine the Inventory to be someplace colossal. Just this...huge underground building you could spend a whole game exploring and not get bored.
What do you think?