With respect, I'm not sure why your opinion is relevant to whether it is biased. There are certainly many instances of bias, that like Twitter, only appear to occur in one direction. The Emily Maitlis opening to Newsnight in May[1] is one of the most egregious examples.
For opinion on the innards of the BBC you can listen to Rod Liddle's (former editor of the Today programme) many, many stories about it, or John Humphries, or for instance, this interview with Robert Aitken[2]. He's promoting a book called "The Noble Liar: How and Why the BBC Distorts the News to Promote a Liberal Agenda", and whether or not you feel it's right or even right for him to write it, it surely hints that some scrutiny might be applied to claims of unbiased centrism.
If you're looking for BBC reporters who you should watch for a bit of bias, Dominic Casciani is one. As to the Guardian, I was a reader for 20 years but I had to stop because it's seriously lost its way. Any given day I can find outright lies, let alone bias. I could go on but this piece[3] by the Guardian on Humpries' claims of bias at the BBC includes several quotes about his Brexit bias. He voted to remain. Maybe they didn't know - aren't journalists supposed to check?
[1] https://www.youtube.com/watch?v=d88goijIsas
[2] https://www.youtube.com/watch?v=aucDmK5E4bU
[3] https://www.theguardian.com/media/2019/sep/21/john-humphrys-...
Edit: I obviously can't number properly. I promise it's not because of bias :)
Like with so many things, more is not always better and it seems information is no different - it does not always lead to clarity.
Not unusual: we self select for confirmation bias.
Through no healthy intellectual lens does the BBC look significantly left of center.
I just took another test on this website: https://www.politicalcompass.org/
And here's my result:
Also that site’s model is laughably simplistic and its questions both leading and rather idiotically phrased; I can apparently swing from far right to far left merely by changing my stance on religion.
You're so far left, centrists look right-leaning to you.
Please stop lying.
You are in no possible way a centrist. You may toy with a bit of libertarianism now and then, but for the most part your extensive comment history shows you to be a bog-standard conservative. Given how the current US government is right-wing to the point of nearing fascism I can see why you might see them to your right on a political spectrum and think of yourself as somewhere close to the center, but this is not an accurate read of the situation.