In terms of performance at stock speeds... Radeon 9000 is a bit slower than the 8500, so it would be pretty close... but Between the R9000 and the Ti200, I would have to go with the R9000. Xabre performs a bit faster than an MX460/440, and thats rather slow, so It would be best to dismiss that option.
In overclocking, the Ti200 overclocks easily to near Ti500 speeds, and most go past it (my Ti200 can hit 244/558 stable, compared to the stock Ti500 speed of 240/500). Which would put the Ti200 ahead of the R9000.
In terms of performance...
Non-Overclocked:
R9000 > Ti200 > Xabre (Extremely close between the Ti200 and R9000)
Overclocked:
Ti200 > R9000 > Xabre (Ti200 should pass the R9000 without a problem when both are overclocked.)
I'm sure you can find a Ti200 for very cheap (I picked mine up for $69 shipped), just look at the FS/T, and you should find some under $75. R9000 was released a week or two ago, I don't think you'll find very many over there, and they are priced at $100+ new. Another alternative would be finding a Radeon8500 for about $100, which happens to be a bit faster than all of the cards mentioned here. As far as drivers go, Nvidia's drivers are very mature, while ATi's also have improved heavily over the past couple years or so, I'm sure we'd all agree that they aren't on par with Nvidia's.
Personally, I would choose between the Ti200 and the Radeon8500. Both perform very well, but the Radeon8500 comes out ahead. Though you can find the Ti200 for a bit cheaper. If you would like to spend around $75, Ti200 is your best bet. If you're willing to spend a bit more, perhaps, around $100, you should get an Radeon8500.
What is your system rig specs? Your CPU could be bottlenecking your system, and it might not even be worth it getting a card that fast.