Purchased from a private owner with 135k, now 155k. RX3s can have some small known issues that can be fixed by a competent DIYer. Exhaust leak (have a friend with a welder?), O2 sensors (buy a $5 socket), clean the MAF (simple), spark plugs (a chore but not impossible), suspension noise (disassembling a strut is more than most ppl want to do on their own). Suggest changing the driveline fluids for insurance against trans issues. Consistent 19mpg which I think is fair- if you get less, have it checked out, or turn off 'power' mode! All in all, I think its a vehicle you can become familiar with & keep around for a long time. It's versatile, but not too big or obnoxious. My trusty daily driver.
Impressive in the snow! Lexus' age well. Girlfriend loves the seat heaters. Parts aren't as expensive as I thought they might be (advantage over a Benz/BMW). Strong following on online forums for everything you need to know. A luxury vehicle that can be serviced by a home mechanic.
CD player tends to skip more than others, would have liked controls on the steering wheel. Stock Goodyear tires are horrible, but replacements are reasonably priced. No Haynes/Chilton manuals, but online help is abundant. Improve suspension components (strut mount bushings) for the weight of it.