Does any board provide more than 1024 analog input values? The Arduino boards provide an analog input range of 0V to 5V which translates to 0 to 1023 integer values. The range is determined by the on-board ADC, which in the case of the Uno is a 10 bit ADC (2^10 = 1024). 

Do any of the official boards have a larger (>10 bits) ADC? Do any boards provide a wider range of analog input values?
AVR-based Arduinos only have 10-bit ADCs, but the ATSAM3X in the Due has 12-bit ADCs. Additionally, it is possible to interface to higher-resolution external ADCs via I2C or SPI.