Something unexpectedly falls on from the sky over Britain on a festive date, a festive first is broadcast from space and a film-spin off is first to win an award. Can you tell me the year that links these things, what they are and who did an out of tune recording of their most recorded song, just for the fans, in the same year?

Everything you're referring to happened in 1965 (I think).

On December 24, 1965, the largest meteorite fall thus far in British history occurred. Fragments of the space rock shattered as they entered the atmosphere, raining down on the village. One fragment famously crashed through a car hood, while another landed in a local resident's flowerbed. It was memorable because it was Christmas Eve, as people were expecting presents to rain down from the sky instead. They may have been on the naughty list.

On December 16, 1965, during the Gemini 6A mission, astronauts Wally Schirra and Thomas Stafford played a prank on Mission Control. They claimed to see a UFO, implying that it may be Santa Claus, before playing a rendition of "Jingle Bells" on a smuggled Hohner Little Lady harmonica and a set of small bells. Thomas Stafford later flew in Apollo 10, and the command module was named "Charlie Brown"... see the next connection.

Originally aired on December 9, 1965, the "Peanuts" special "A Charlie Brown Christmas" became the first animated TV special to win both an Emmy Award (for Outstanding Children's Program) and a Peabody Award. This unprecedented success spawned many more Christmas specials that many television programs reaped money over since then.

Finally, The Beatles recorded their third annual Christmas record, which was mailed on flexi-disc to members of their fan club. On this recording, they performed an out-of-tune and comical version of "Yesterday" deliberately. This is particularly significant because "Yesterday" is recognized by the Guinness World Records as the most covered song in the history of popular music, and this added one more to their count. Does a self-cover count as a cover? (Answer - of course)

References: A whole lot of Wikipedia. Google helped too.

You have the year and the first part did indeed refer to the Barwell meteor in Leicestershire. As the article points out, it was the size of a Christmas turkey and the man whose car was hit, was told by his insurance company that it was an "Act of God". He therefore angrily tried and failed to get the church to pay for his car.
https://en.wikipedia.org/wiki/Barwell#Barwell_meteorite

The Gemini 6 broadcast can be heard here.
https://en.wikipedia.org/wiki/Gemini_6A#A_Christmas_surprise

I'm guessing "A Charlie Brown Christmas" wouldn't have won any awards until the following year. No this is an object, modelled on something in a 1964 film, that was the first to win a particular award in January 1965. That answer is still up for grabs.

The Beatles, who also had their third UK Christmas number one with the double A side "Daytripper/We Can Work It Out", did indeed do an off-key version of "Yesterday" on the flexi-disc they gave to their fans.
https://en.wikipedia.org/wiki/The_Beatles%27_Christmas_records#1965:_The_Beatles_Third_Christmas_Record