Lindos is famous for the intricately carved doorways or 'pyliones' to their houses and one particular example the guidebooks insist you find is the Captain's House.
There are no signs to it, but as you descend from the Lindos Acropolis you'll probably see the Captain's House Taverna. It took two minutes to walk through the bar and take a snap of the housefront. You can only step into the front room, which has been highly modernised. I'm sure the owners of the bar would love everyone to sit down, buy an expensive drink and soak up the limited atmosphere, but I wasn't tempted.
Fun Alternatives: I suppose it's worth a quick peek, but why exactly the guidebooks pinpoint this as a specific sight is beyond me. There are plenty more doorways, courtyards and gateways in the village which are far more picturesque to discover on your own.
I am Greek myself and I visited Lindos town in Rhodes, Greece 2 years ago and was disgusted by how the locals treated the poor animals. When they were tired, they hit them to keep going, swore at them and I even saw a man throwing a rock on one of them, because it refused to move out of fatigue. Those people are real monsters and nobody should support the abuse of animals without knowing it, by riding one of the poor donkeys.
Don't hesitate to visit Lindos though, the view from the top is beautiful, though the price for the archaelogical site at the top is quite high for what the are has to offer, since most of it was being renovated back in 2008 and there was not much available at the time to see/photograph. The town itself is really picturesque though.
Fun Alternatives: Climb on the top of the hill on foot (about 15 minutes walk), don't support animal abuse!
On the high road bypassing Lindos we saw signs pointing to a Mycenean cemetery. As a one-time university student of classics, I am a sucker for antiquities and whenever I see these types of signs I pull over because usually there's something worth seeing.
Out amongst some olive groves and donkey paddocks was a mound topped by a concrete shell. We couldn't decide if they were building an interpretive centre (on top of the graves, practically) or whilst in the middle of building a block of flats the graves had been dug up.
Either way, the trenches were pretty much off-limits but we crawled through a gap in the chicken wire to look at a few ditches and a couple of tiny, empty chambers. I've no idea why the place is picked out on maps and has signs pointing to it, there's nothing to see here!
The lace sellers on the path down from the Acropolis lasy out their wares on the bank beside the path. The lace and table cloths seems extremely expensive, and haggling is the order of the day.
Unique Suggestions: Don't be "bullied" into buying at a high price. See how much you can get similar wares for in the town before you approach these lace sellers.
Fun Alternatives: Try the shops in town.