The package of MAX232AMJE and MAX232MJE are the same
The MAX232AMJE is different from the MAX232MJE in terms of the capacitors used in the charge pumps.
For the MAX232AMJE, 0.1µF capacitors are recommended where as the MAX232MJE accepts both 0.1µF and 1µF capacitance values.
The MAX232AMJE has data rates of 200kbps where the later has 120kbps.