The Digispark is Attiny85 based and has a 24LC256 256Kbit eeprom shield option - i2c address at 0x50.
The connection uses P0 and P2 for SDA and SCL.So 4 useable pins remain for other uses.
http://digistump.com/category/2
It would be a very interesting project to enable connecting these two devices and the 6050 modules together.
Adding the motor control shield (which uses an additional two pins) would bring an entire 6050/digispark/eeprom/motorcontrol project to < 30 USD.
Leaving 2 pins remaining for other uses.
So reducing the code footprint to fit (with useful main) into the 6k left (after bootloader requirements subtracted from intial 8k) would be a good challenge.
I've just ordered some more from http://www.aliexpress.com/item/2pcs-GY-521-MPU-6050-MPU6050-Module-3-Axis-analog-gyro-sensors-3-Axis-Accelerometer-Module/960384365.html
