It looks like these are the current I2C touchscreen drivers in mainline:

CONFIG_TOUCHSCREEN_88PM860X		pmic mfd device? probably not standalone
CONFIG_TOUCHSCREEN_AD7879_I2C		datasheet looks simple enough
CONFIG_TOUCHSCREEN_ATMEL_MXT		needs firmware? probably complicated
CONFIG_TOUCHSCREEN_BU21013		can't find a datasheet
CONFIG_TOUCHSCREEN_CY8CTMG110		looks like the chip may be obsolete
CONFIG_TOUCHSCREEN_MAX11801		Maxim usually has long lead times
CONFIG_TOUCHSCREEN_MCS5000		can't find a datasheet
CONFIG_TOUCHSCREEN_STMPE		datasheet looks simple enough
CONFIG_TOUCHSCREEN_TSC2007		datasheet looks simple enough

Based on that I'm considering the Analog Devices, STMicro, and TI parts.

Do you know if any of these work better than the others?

Out of those, bu21013 (and st1232 not on your list) are dual touch,
and atmel_mxt is true multitouch. The rest are single touch.

Cheers,
Henrik