More than 100 people have been killed across Egypt and thousands injured in anti-government riots as protesters demand that President Hosni Mubarak resign. There are also reports of widespread looting and opportunistic crime.
Mr Bunce and a film crew were in the country to shoot an episode of the television programme Intrepid Journeys.
He said the crew got caught up in a scuffle when protesters saw their cameras, after which the situation became "a little bit crazy".
"Our crew got a little bit caught up in there with some pushing and shoving and a little bit of kicking," he told radio New Zealand.
"While it was a little bit scary I don't think we were in any real danger because there were people who came up and protected the group and were really, really apologetic."
He said it was frightening that there were so many people around.
"We're talking thousands of people around, and in different areas the mood changes. It's a little bit tense."
At one point, Mr Bunce said he and the crew were going to "make a quick run to our hotel", which was a few hundred metres away.
"They came to us and said, 'Look, don't even try it. It's serious now. It's not just protests, it's looting and there's a threat of death, of killing, and they were deadly serious.'"
Mr Bunce said he and the crew were at one point told by hotel staff to get on the roof because of looters who were targeting hotels.
"They turned all the lights out for a while and we had to stay there."
He said people outside were armed with sticks, rocks and swords.
Mr Bunce said overnight that he and the crew were at the airport waiting for a flight out, having wrapped up filming as planned.
"Our flight has been delayed so we're just sitting out here at the airport. But there are so many people out here as well."
The airport was in chaos and flights had been cancelled and delayed, he said.
Prime Minister John Key said today New Zealand was not looking at evacuating the New Zealanders in Egypt.
"Not at this stage. We would obviously provide support if required," he told TV One's Breakfast programme.
Mr Key said he would not join calls for President Hosni Mubarak to go.
"New Zealand wants a peaceful outcome to this, in the end whoever governs your country is a matter for the citizens. In the case of Mubarak, he's been there for a very long time -- 30-odd years I think -- we respect the fact that he has done his very best to lead a country which has recognised Israel and therefore wanted to make sure the position in the Middle-East has been a peaceful one."
The Ministry of Foreign Affairs and Trade (MFAT) said yesterday that 282 New Zealanders had registered with the ministry as being in Egypt.
There were likely to be other New Zealand tourists in Egypt who had not, and anyone there should register their details at www.safetravel.co.nz, MFAT said.
The ministry advised New Zealanders to avoid protest areas, monitor local media and ensure they adhered to instructions from local authorities, including curfews.
Cairo Airport was open and New Zealanders concerned about the situation should consider leaving if safe to do so, the ministry said.
