Some articles say "types of the weather", another say "types of weather" which one is correct?
Types of the weather is definitely a NO NO!!
ahhahah "types of the weather" even sounds funny ... but correctly speaking it's "Types of Weather" :)
I agree with the other native speakers.
If you want to learn correct English from internet sites, you need to make sure that they are genuine native-speaker sites. There are many articles on the web written by Russian speakers whose English is unnatural- sounding and sometimes inaccurate.
It's "types of weather".
The examples which use "the" are non-native (I checked), and sound awkward to native speakers.