DW (Deutsche Welle) is pretty good. It’s funded by the German government, but I haven’t found any faults with the reporting yet. Unlike with Qatar’s state media, there is a law preventing the German government from directly influencing the reporting. At worst, their English voice overs can be a bit clumsy at times and some of their English language stories are of relatively little relevance to an international audience.
It is worth noting that their Arabic-language team has come under fire for antisemitism in the past (similar to a recent scandal at the BBC), so even they are unfortunately not perfect.
As for Al-Jazeera (edit: and sorry for writing such a long comment, this wasn’t originally planned), there have been a number of occasions of their journalists cutting off citizens in Gaza the moment they started to criticize Hamas and/or Qatar. Two examples:
Earlier in this war, when a rocket from a Hamas-aligned group struck the parking lot of a hospital, Al-Jazeera spread the lie that it was an Israeli air strike, even though the breakup of the rocket launched from Gaza could be seen on their live stream. They later switched to a questionable analysis that claimed the Iron Dome had intercepted the rocket over Gaza, even though that’s impossible, since the Iron Dome neither extends over the strip nor intercepts rockets during their boost phase.
This kind of reporting has consequences. Al-Jazeera’s Arabic language content in particular - which is far different in tone compared to the more moderate English-language edition - has an enormous reach in the Middle East. In this case, the misleading at best reporting resulted in riots and antisemitic pogroms in several Middle Eastern and North African countries, including the torching of a synagogue.
Israel has also accused several of their journalists of working directly for Hamas. While they have presented evidence, these accusations have been met with heavy criticism, although notably primarily by people and organizations already critical of the Israeli government.
The fact that at the funeral of this journalist, Saleh Aljafarawi, a man known for his many roles and clear connection with Hamas was front and center does support the IDF claim though (first from the left kneeling down):
I’m not saying that every journalist killed by the IDF is automatically a terrorist or that the company any of them keep, in life and death, is evidence of wrongdoing, but the whole thing is definitely odd.
Al Jazeera though has been dubious at best for decades already. I recall that even all the way back in the early 2000s, they were being regularly criticized for uncritically broadcasting terrorist propaganda.