Kodi live TV add-ons are a bit of a hit-or-miss if they work or not, but are improving constantly.
Like any add-on it depends if the server is full or not if a channel will work.
This means that one day you will have no problems while the next day, or hour, the stream no longer works.
This up and down of working and not working can be frustrating so it is always best to stick to shows already recorded and find a good server is possible.
With that said there are some good ones that have steadily improved live TV, just dont expect it to be as dependable as Cable TV.
Here is the best live TV options I have found for Kodi.
cCloud TV
CCould stand for Community Cloud and is a community of people dedicated to streaming live TV online.
Most any channels you can think of can be found in sections from news to cartoons.
It is a IPTV setup for free to use, they have a server section to see which ones are up or down.
Like always it depends on if a server has too many users before they start to kick connections.
This means popular channels will be difficult to watch especially if a popular show is playing.
Less popular channels are usually easy to start streaming.
UKTV Again
UKTV Again is another top live TV add-on for Kodi.
It is from MetalKettle who has several other popular Kodi addons.
Much like cCloud it has a wide variety of channels from all over the world.
Also like any live TV add-on it is a hit-or-miss to find a good server.
UKTV Again is not as popular as cCloud so often a server can be found quicker but like always dont expect miracles.
UK Turks Playlist
UK Turks Playlist is best known for its wide variety of content.
From movies and TV shows UK Turks has a lot to offer including Live TV.
While the selection is not large the links are updated regularly which means they often work.
Like always it is hit-or-miss.
Summary
Live TV streams and Kodi are currently just not to the point of being a real option if you want dependability.
Much like streaming any recorded content was with Kodi a few years ago it will no doubt steadily improve with time.
Remember many free stations from popular networks are broadcast for free over the air in digital format, all that is needed is a good antenna.
If you live in a large city often 30-40 channels can be picked up for free over-the-air and may currently be the best for live TV.
Free over the air TV is mainly good for live news and weather, but many stations are also available including ABC, NBC, and CBS.
Read here for more on how to setup a antenna to get free-over-the air TV channels.