Simple but powerful battery can be done using some materials from the kitchen: aluminum foil, paper for a membrane, active carbon for an air electrode, and an iron mesh for a current collector. The Al-air battery is more energy dense than a Li-ion battery.
In the chemical equation the redox potential should be -2.3 V instead of -1.66 V.
This aluminum-air battery was designed by Tavo Romann (PhD).
The preparation of the air cathode is described in the new version of aluminum-air battery video:    • Al-air battery - car race challenge  
The carbon electrodes can be also obtained from https://www.superaccu.com/energystora...

See also our other electrochemistry experiments:
Homemade supercapacitor    • Tic-Tac supercapacitor - 800F from th...  
Microbial fuel cell    • Microbial fuel cell - DIY Elbonian style  
Making sodium    • Making sodium via electrolysis  

la batería de aluminio-aire
铝空气电池
bateria de alumínio-ar
алюминиево-воздушной батарее
Aluminium-Luft-Batterie
batterie aluminium-air
batteria di alluminio-air
алюмінієво-повітряної батареї
aluminium-õhk patarei