Here's a private key with 0.00001 BTC on it, no fee required to import it, but also not enough money to send it anywhere.

addr: 19bjqNiSWxMuCcbzcszS37BJfNMKLA7vh1
priv: L3Upbvtaij1xMmG2iXTokSgguAPy3c4fnR81xFcUKc2263hapovb