A:Answer Oscar's response is absolutely incorrect.
The BDP-S1500 plays streaming video from Netflix, etc via a wired connection. That's why it has a network port on the back; you would have to run a network cable to connect it to your home network. What Oscar may be referring to is that it lacks DLNA (for playing streaming media from other in-home devices) and WiFi (for wireless connections, which avoids the cable issue) that some of the other more expensive models in the line have.
http://store.sony.com/wired-streaming-blu-ray-disc-player-zid27-BDPS1500/cat-27-catid-All-Blu-ray-DVD-Players
Anyway, the real issue with connecting to an old TV is that this player, like many, only have the more modern HDMI connector. It will almost certainly not work with your older TV for that reason.
Your strategy is right, in theory - you should be able to find a Blu-Ray player capable of streaming Netflix, etc that has outputs your older TV will accept. However, you may end up spending more to get a player with those outputs, and unless your TV is really high end - specifically, better than 480p HD - a Blu-Ray won't look any better than a DVD (or maybe even a VHS tape) because of the limitations of the tube.
My advice: figure out the best input your TV has; in order of best to worst, these are component, s-video, composite, and RF (cable). Then, look for a player that has HDMI and the best input your TV can handle. If it's too expensive, consider waiting until you replace your TV.