Well, use the list with caution. They would definitely get people talking.
Is the solution a bigger needle, or a smaller camel?
‘Was Christ a socialist?’
A cathode ray tube. Next question?
I’m stealing this for the next time it comes up. I hate these things. They always make me feel on the spot and more uncomfortable not less. I’m anxious until my turn comes up, so I can’t pay attention to other answers. And after I do speak, I fret about what I said and whether it was the right or wrong thing. (also, while one question is bad enough, “two truths and a lie” the worst possible version of this.) Don’t do the icebreakers if you don’t have to.
However, least bad one I’ve heard recently is “what would you name a pet ferret?”

Don’t do the icebreakers if you don’t have to.
My personal vote goes here.
Do you ever have thoughts too terrible to mention out loud, and if so, what are they?

favorite book of the Bible…

Which one of the 12 apostles are you most like…
Lutheran youth leader here: I think we’re overestimating how interested in the Bible kids are. These are ordinary, easily-distracted teens with hormones and crappy classes in school and sports stress and family stress and a crapload of other stresses.
My experience has been, get them talking to each other. They’re going to need each other as friends. Tailor your questions to provoke comments from other kids (or build that in: “Okay, so Cassie hates ‘Silly Sitcoms’, who’s with her?”… then: “Who wants to defend sitcoms?”)
My other comment would be not to censor or avoid touchy or even tasteless comments. Remember, the goal is to have them bond with each other, so they’d join together in embarrassing you…
I’ve been lucky to be part of a couple of really open youth groups, where kids have shared tough home situations and one guy actually described his drug use, then ended by asking the others to pray for him.

Do you ever have thoughts too terrible to mention out loud, and if so, what are they?
This is good for trapping impulsive speakers with no brain to mouth filter. Like sodium pentothal…
The one that I generally use is, “Name something that you hate more than the tedious icebreakers that are used to start sessions like this.”

Lutheran youth leader here: I think we’re overestimating how interested in the Bible kids are. These are ordinary, easily-distracted teens with hormones and crappy classes in school and sports stress and family stress and a crapload of other stresses.
The OP didn’t mention it being a group of kids

I’m assigned to lead a fun-question-for-discussion every Friday night’s church fellowship - can’t really call them icebreakers since we’ve all known each other for a while, but basically, it should be about 7-10 minutes of fun chat led by a question.
Yup it’s all adults.
I recently accepted a new job in my company in the Design department. The department head sent out an email welcoming everybody and asked what we should name our group. As an ice breaker, I said that I was in a bowling league when I was a teenager, and we named our team “Jo Mama.” I added that we thought we were cool when we came up with that name.
I forgot that our team members aren’t just from the US. We have people from the UK and Kuala Lumpur as well. They actually liked the name and thought it would fit good on a T Shirt. One of them thought “Jo Papa” would be good too. I explained that I was just trying to break the ice and I wasn’t being serious, but our team just might be known as “Jo Mama.”
So, just bear in mind “unconventional” might become the new “conventional.”

Two truths and a lie is always a fun one, and can work with almost any group.
I had 'em going once at a meeting where I talked lovingly and longingly about how I had to give up skydiving when I had my wrist surgery a couple years back.
Two truths and a lie was my funnest icebreaker. Mine was: I used to have hair so long I cold sit on it, I can hit C over high C, and when I was a child I used to sleep with a goat. No one guessed right.
The lie was the goat, it was my sister who used to do that.

Is the solution a bigger needle, or a smaller camel?
I cannot imagine a circumstance when, in my remaining years, I would use this line; but I’m stealing it anyway 'cause its so damn fine.
j
IMHO, I’ve found that two truths and a lie usually gets too convoluted when people can’t easily remember all 3 statements, especially over a Zoom call.
Better to do 1 truth and 1 lie.
You wake up in a totally unfamiliar place without your phone - now what?
I’ve been in a church group that actually did a version of this. It was a Vacation Bible School for all ages. Young kids asked the adults what their favorite Bible story was. (The Birth of Jesus. The kids chose Noah’s Ark.)
Well, I asked the “what movie role should each of us play” question last night, it didn’t go too badly, except that people then asked me what role I should play and I had no answer for that.
Time for the next round (these are some pretty tough people to satisfy, question-wise, too)
I’m thinking things like “If you won the lottery, how quickly would you quit your job and how would you notify people?” (not “how would you spend it”)

The lie was the goat, it was my sister who used to do that.
Does your sister have kids?