I am going to give you advice that will give you the best fidelity for the money and the reasons why.
Pass on the Sony. It might have the look you are after, but it's internal components are WAY out of date. Dolby Pro Logic is long gone by todays standards. Sony amps in their mass market AVRs are not very good, and I am being kind!! If you wanted to add surround speakers later, forget any true fidelity! It is only a few years younger than your previous options also.
The Yamaha is a good selection IMO. It has HDMI switching that you can use now and in the future should you like. It has a more robust amp with 5 channels at 80 watts each. It has most of the current surround sound formats you would need for TV viewing and gaming on your PS2. Should you want to add surround speakers and a center later, no upgraded amp is needed. The only drawback is it doesn't have a phono input. There is a solution tho.
IMO, get the Yamaha. Regardless, the newer the technology, the less likely you will replace it soon.
To get the optimum from the equipment you currently have, any receiver you get that has HDMI in/out, you will need:
1. PS2 to HDMI converter such as this:
2. If it doesn't have a phono input:
3. A TOSlink cable from the TV to receiver.
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4. 2 HDMI cables. one between TV and receiver. one between PS2 and receiver.
This should get you set up with a very good receiver you won't need to replace for quite a while. The extra items can be added as you get the funds or all at once. If you want to spin vinyl now, get the phono preamp 1st and use it on any of the inputs you like.