Altantis would love the TARDIS. She'd turn on all her lights and play little pieces of music at random times, and the TARDIS would hum back at her and remotely recharge the ZPM. The Doctor would get himself arrested while trying to explain that they were really only there to pick up a few spare parts, nothing to do with the Wraith, or the Genii or the funny little things with tentacles... and released into the custody of Colonel Sheppard when he started going into graphic detail about city/TARDIS cybersex.