The Dacia Sandero, one of the smallest cars I can think of here in France, that's also supposed to be cheap so doesn't have a lot of... anything, has a curb weight of 1,025–1,204 kg (2,260–2,654 lb) according to wikipedia [0].
The previous generation Renault Clio, which is a small city car, weighed around 1000 kg, too (980 at the lowest). [1]. Wikipedia doesn't have data for the current generation, which is somewhat bigger physically.
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[0] https://en.wikipedia.org/wiki/Dacia_Sandero
[1] https://en.wikipedia.org/wiki/Renault_Clio#Fourth_generation...