The best replacement for mapp gas is acetylene.

The best alternatives to mapp gas are rated as following:
★★★★★  acetylene
★★  propane gas
★  propylene
★  oxy acetylene
★  propane hotter

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Speaking about mapp gas, one probably shouldn't forget about propane torch.

Other search terms related to mapp gas and their ratings are:
★★★★★ propane torch
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mapp gas
acetylene
propane gas