I have a Samsung Smart Television Model UE32j5600 and need a compatible DVD/CD Player.

Hello, thank you for using Howly.
Here are a few options that should work well with your TV:

1. Sony DVPSR760H DVD Player - this is a popular and affordable option that has an HDMI output, which is compatible with your Samsung Smart TV (it also supports DVD, CD, and MP3 playback)
2. LG BP175 Blu-ray DVD Player - this player is slightly more expensive than the Sony DVPSR760H, but it supports both DVD and Blu-ray playback. It has an HDMI output, which is compatible with your Samsung Smart TV, and also features USB playback.
3. Panasonic DVD-S700EP-K DVD Player - this player is a little more expensive than the other two options, but it features a progressive scan function that can improve the picture quality of DVDs, it has an HDMI output, and supports DVD and CD playback.