The one bad thing I can think of is the brake-master cylinder, in terms of 'known' problems. This can be a very expensive part to replace. The BMC was improved when lexus introduced the 2001 model. Depending on the year, this may be something to look into. Keep in mind that there are a lot of pre 2001 models without any problem at all.
Another thing to consider is the AC system/compressor. With a regular serviced and maintained AC system, problems in that direction are less likely.
I'm not sure about your description re. the pump. It could be that the brake system is building up pressure, but it shouldn't be that loud.
When it's the powersteering, turn the wheel all the way L&R, then you might hear a 'groaning' sound.
Like all cars I owned, no matter what service or maintenance, the first thing I do is to refresh all major fluids: AT, oil, differential, brake fluid, powersteering, to manufacturer standards, just to be safe. Have a look at the famous balljoints too.
It sounds like a well maintained car, it should keep you on the road for many miles.