Okay, here's the answer: A game engine with scripting.  Don't worry, I'll explain it!  But the concept is similar to Game Maker or the Starcraft Campaign Editor.

With Ti-Basic, every line has to be translated and interpreted, and as you know it makes it slow.  Even if you use an ASM library or a parser hook, you have to eventually return to Ti-Basic, after which the slow speed returns.  The idea behind Correlific Mode is to keep your Ti-Basic game in ASM as long as possible. 

To start, you get to use Str0 - Str9 to hold text that uses a custom font.  This can be map data, single characters (for sprites) or strings--anything you would normally use with Correlation.  You then create a bunch of lists of numbers, numbers that tell Correlation what to do with these strings.  The numbers make tell Correlation to "make Mario jump," "move this tilemap with smoothscrolling", "have this car bump into this one", etc.  Correlation takes this data and runs a game completely in ASM, doing what you asked it to with the scripted data.  The game will go to Ti-Basic only when it must, that is, when there is something you want to do that the Correlific Game Engine cannot do.  (This is where lags come in)

I am not going to say much more for right now because I want you to keep on thinking that this will be easy.  It WILL be easy.

so i was *sort of* right in my guess(at least in the analysing beforehand and doing everything via asm part)?

i am SO pumped for what this should do to the future of BASIC programming.

*Candace giggle* Custom fonts.... *drools*

Wait, is this the first time you heard of custom fonts with Correlation?  You should read this:

http://ourl.ca/7842

This is Correlation's main purpose: Custom fonts.

Darn this seems interesting. Will it increase Correlation size greatly?

Correlation is an application, so it's going to be 16 KB no matter what.  With that said, I have 12 KB of space left, more than enough. 

Unfortunately, Correlific Mode does require up to 2 KB of user RAM, but I feel that the results will be more than worth it.

Ah ok, I thought it might make Correlation 2 pages if there were a lot of games libs added.

Ok, that makes sense

Could somebody potentially even create a GameMaker/RPGMaker type program with this, making it even easier to put games together?

You bet!  It will be that easy.  I'm hoping somebody will want to once Hover demonstrates the potential.

Nice, and another thing: will the entire data be stored into archive?

Data is stored in lists.  That means you need a Ti-Basic program or something.  It may require space, but it makes things so much easier for those programming directly on a calculator

I'm actually going to come up with some other form of storage, cause you have a point

An AWESOME idea.  Then they can be archived.  However, Correlific will still need up to (but maybe less than) 2 Kb of RAM