This post is not of the files in StreamSounds, but rather about other .wav TSL sound files (which really are MP3s with fake header; they are located in StreamMusic and StreamVoice). I think this topic would be appropriate, considering its name, though I admit it's been a long time.
I couldn't play those by renaming them to .mp3. But there is actually a way to play those files with Media Player Classic and K-Lite Codec Pack. If you use MPC as your everyday media player, then you can install both x86 and x64 versions; in the following instruction the x86 version is used for playing TSL fake .wav files (and also any actual .wav files), and the x64 one - for whatever you wish. Note that the x86 one won't be able to play many other file formats, such as .flac, due to the settings described below.
1. Install K-Lite Codec Pack (I use Mega edition), with both x86 and x64 Media Player Classic players. During the installation you can associate both of them with preferred file types; choose .wav for the x86 version.
2. Open Codec Tweak Tool -> DirectShow (x86). Disable the LAV Splitter. Now, with the x86 MPC, this splitter won't be used to read files.
3. Open the x86 Media Player Classic. In Preferences -> External Filters, add the filters MPEG-I Stream Splitter and MP3 Decoder DMO.
After that, you're all done.