There were many inventions in the 1800s. I don't think anyone can be labeled as "best" because they have all contributed so much.
Domestic Gas LightingElectric Battery
Punch Card
Steam Locomotive
Lamp
Tinned Food
Spectrocope
Photography
Stethoscope
Electromagnet
Waterproof Clothes
Passenger Railway
Microphone
Sewing Machine
Electric Dynamo
Electric Telegraph
Refrigeration
Mechanical Calculator
Propeller
Revolver
Morse Code
Fuel Cell
Vulcanisation
Postage Stamp
Fax Machine
Antisceptics
Does this help? I love feedback on my answers so please let me know what you think. Thanks.