You can use Kodi to stream, it is constantly changing how you have to do it but here is a guide by now:
Create a normal text-file and rename the .txt extension to .strm.
Open it up with a text-editor (like gedit).
Input the the direct URL-link of the stream.
This should look like:
http://host/path/stream
Or:
mms://host/path/stream
Or:
rtsp://host/path/stream
(Other protocols are supported such as http://host/path/to/somefile.mp3
.)
Save/copy the .strm file to somewhere where you can open it from Kodi, (like on a SMB/SAMBA, XBMS or UPnP share, or just your local hard drive), like you would with any video/audio file.
Open it using play in Kodi under Videos (if it is a video stream) or Music (if it is an audio stream).
If the video stream does not work then the URL-link could be wrong, or possibly the codec/format or the network-protocol it uses it not supported by Kodi.
If you are creating a list of playlists (for example internal and external Shoutcast streams), save the pls or strm files into a directory accessible by Kodi and add the directory as the source, not the files themselves.
More details: http://kodi.wiki/view/Internet_video_and_audio_streams
I haven't use it but there is also Plex wich also suports streaming, here is another guide to do it:
https://support.plex.tv/hc/en-us/articles/200250387-Streaming-Media-Direct-Play-and-Direct-Stream
I am not sure if that is what you want/need as you said you want to do it from a web interface, but i hope it helps as an alternative