Seeing and seconding calls for;
A base shapeshifter class.
A knowledge-user like the Archivist.
An artificer-type with a pool of available creations that he has to abandon to free up 'creation points' to make new stuff, so that he isn't just an infinite supply of cheap goods to his allies (and 7000% more likely to be a cohort than a PC).
A martial controller.
A martial leader / warlord / marshal.
A class that evolves into an outsider of some sort (devil, angel, etc.), or some other type of 'monster' like a dragon or undead.
And my own notions;
A priest type that channels divine power for a series of stunts, with more stunts available with level acquisition (or via feats). No spells *at all*, just channel energy to heal, or to smite, or to ward off opposed creatures, or to cleanse an area (or person) of evil or afflictions, or to infuse a corpse with energy and animate it, etc. Many of the same effects of divine spells, but no spells, just power, and new ways of channeling it to perform various miracles.
A Skill specialist class that does what the Rogue does with trapfinding, having niche specialized applications of skills like Perception and Disable Device that few others can match, only with a larger assortment of skills, like a mundane Heal skill user, who can do all sorts of stuff with the Heal skill that Bob the Cleric can't (like treat conditions, or CPR someone who's only 'mostly dead' back to life if he gets there fast enough, etc.). It's kind of what I wanted to see from an 'Alchemist' class, someone who makes lives or dies based off of use of the Craft (alchemy) skill, and has a daily pool of 'free alchemy' he can use so that he doesn't spend all of his WBL just to use his class feature of throwing (ever increasingly effective) alchemist's fire and tanglefoot bags at people.
If only there was some sort of point-based generic, universal system that I could use in any genre.
There are many, and many of them have zero built-in balance. In GURPS Supers, for instance, you can find guys written up by the actual game developers that have 15 *die* attack, and DR 8 or so. Woo, freedom! 500 CP supers like Black Pearl that a 100 CP Fantasy wizard or fighter will absolutely smoke like a fine Cuban. It's crazy easy to build terrible characters with some of those systems, both terribly competent, and terribly *not,* which leads to some bad play experiences, and ends up driving people away.
Mutants & Masterminds, with the mixed concept of point-buy character design and offensive and defensive PLs was a step in the right direction for that sort of thing, IMO.