If the cables are CAT3 two-pair cable, which is what was run as internal telephone cable here in Australia and I'm betting most other places. Then you will struggle to run data over it, LAN only uses 2 out of 4 pairs in a CAT5/6 cable so you could use it for data but you'll be experiencing considerably less than 10mbit. CAT3 was used for networking but that's quite a while ago. Also the twist on the wire pairs of CAT3 and below is almost none, this means crosstalk between pairs will be rife if used for data purposes.
But you could use it for 50-100v nonexistent amperage type things. Like ISDN :P Or even better to send morse code between rooms in the house! Could use it for an alarm sensor? Or a doorbell?