[UmaroVI]

The game does support some generalization.  I think generalists get a bad rap because usually, they are mundane characters with little augmentation.  When you combine that with low Attributes and a lot of low to middling skills, of course the character will be behind the power curve.

If you judiciously utilize augmentations and/or adept powers, or play a mage with a wide selection of spells, then you will find that you can be good in more than one specialty, with dice pools in the low to mid teens for a good number of skills.  Think of less specialized kinds of characters - instead of martial artists, marksmen, or hackers, think about detectives, bounty hunters, mercenaries and such.

Yeah, generalists are perfectly good, in that past a certain point, stuff costs more. So you can be 100% good at one thing, or 80% good at three things. The trick is that SR doesn't really make it easy or obvious how to build generalists - people who try tend to buy the most expensive stuff (skills) rather than the least expensive stuff (augmentations). My sig has a few generalist characters, if you want to take a look: the generalist (hacker/face/street samurai), the mercenary rigger (hacker/rigger/B&E specialist/street samurai), the spook (face/B&E specialist/street samurai), the combat hacker (hacker/b&e specialist/street samurai), transhuman mystic (mystic adept B&E specialist/street samurai)

[Mirikon]

And then you can always play around with metavariants and other unusual character types. I'm putting a Naga Face/Shaman together right now, because I think it'd be HILLARIOUS for a 9m long snake to be the face of the party.

[CanRay]

I made a Norse Magician/Face...  But, like all of my games, it fell apart.

The Accountant From Hell is a Money Launderer by trade, but does Shadowruns in between as well.

Nas is a Hillbilly Elf that drives really, really good. 

[UmaroVI]

And then you can always play around with metavariants and other unusual character types. I'm putting a Naga Face/Shaman together right now, because I think it'd be HILLARIOUS for a 9m long snake to be the face of the party.

One of my friends contemplated that. "My googly eyes say you should pay us more money!"

Some of the wierder PC races are character defining in themselves, like Nosferatu or Free Spirit. Those might be an interesting change of pace if you are burnt out.

[theKernel]

I'll check em out

[CanRay]

Even some of the more common types of rare Metahumans would be interesting.

A Night One's allergy to sunlight makes for surprising instances of how to deal with things that happen during the day...

[ArkangelWinter]

One of my players made a TM Surgeling thats pretty general. A weak TM except for Compiling, but.a decent face, pilot, and poisons expert (which fit into her snake-like SURGE.) Then add in a few personality complications like venomous spit on a character that falls in love like other people change underwear and mood hair to boot. She's the world's most awkward face.