Asking corporates, tax dodgers and bankers to be afraid, "be very afraid", if Labour formed the next government, Corbyn said, "It is these rules that have allowed a cosy cartel to rig the system in favour of a few powerful and wealthy individuals and corporations".
In keeping with reports that he would adopt a "populist" strategy against entrenched elites, Corbyn said he would not "play by the rules" and promised a fairer and more equal economy, adopting a passionate style similar to Jean-Luc Melenchon, the French left wing radical who is mounting a strong surprise challenge in the presidential election. "We haven't threatened to turn Britain into an offshore tax haven on the shores of Europe, undermining the European economy".
The Labour Party appears to be running an anti-establishment campaign, presenting itself as a defender of the powerless against the establishment.
The Tories to seek a crushing victory, the SNP to gain a mandate for a second independence referendum, the Liberal Democrats to lock in recovery and Labour to get shot of Jeremy Corbyn.
In his first major speech of the general election campaign, the Labour leader vowed to "give people real control" and put Britain's wealth into their hands. "We want the full tax return of medium and large corporations to be published so everyone can see what is going on".
But Mr Corbyn has now ruled out a second vote.
He added: "Walking away and trading under World Trade Organisation conditions will mean the manufacturing industry in this country would be severely damaged".
"I don't play by their rules and if a Labour government is elected on June 8 we won't play by their rules" either, he said to loud cheers from the audience gathered in Westminster on Thursday afternoon.
"If I were Southern Rail or if I were Philip Green, I'd be anxious about a Labour government".
"It shows they can't provide the strong and stable leadership Britain needs at this serious moment in our history".
May, who took office after the Brexit vote last June, is seeking to capitalise on public support to increase her slim majority of 17 in the 650-seat House of Commons.
He spoke in defence of ordinary people who he said spent their lives working hard and in the end were left with nearly nothing.
"The British people know they are held back.by a system rigged for the wealth extractors", he said.
Mr Corbyn said the likes of business tycoons Sir Philip Green and Mike Ashley were monopolising money that should be shared by everyone.
Answering questions, Mr Corbyn said Labour's manifesto would be "fully costed and will be all accounted for and paid for".