The weight itself is an engineering challenge.

With passenger vehicles, the problems have largely been solved. With motorcycles, there are still some tradeoffs on range (especially highway). With large cargo trucks, the weight causes issues with range, weight capacity, and charging times. With aircraft, there's not really competition on the horizon.

And electrification of heat production itself for climate control, cooking, hot water, industrial processes, etc. is coming along, too, on an application by application basis. (But note that the energy "lost" to heat is less of a factor for these uses.)