BBC Teach have lots of lovely songs and rhymes, e.g. https://www.bbc.co.uk/teach/school-radio/nursery-rhymes-songs-index/zhwdgwx
Songs for Teachers has songs for lots of themes, including nursery rhymes, for literacy... https://www.songsforteaching.com/index.html
Youtube Kids UK ( https://www.youtube.com/kids/ ) has lots of family friendly materials. Children can watch more independently, without the risk of being exposed to unsuitable material.
You can watch via the web or using an app.
CBeebies channel have lots on here https://www.youtubekids.com/channel/UC0fXNmjDoC7ckPyT6qM8Urw
The Singing Walrus channel has lots of great songs, too https://www.youtubekids.com/channel/UCe1VpF4wS_kdcjyTRSXBcnQ
Alphablocks are great for early phonics: https://www.youtubekids.com/channel/UC_qs3c0ehDvZkbiEbOj6Drg
There are lots of other lovely songs, (some are much better than others!!) though there are more good ones on the main site.
Weather songs: https://www.youtubekids.com/search?q=weather+songs+for+kids
Months of the Year: https://www.youtubekids.com/watch?v=Fe9bnYRzFvk
Days of the Week: https://www.youtubekids.com/watch?v=mXMofxtDPUQ