Sorry, I can't provide you with any names but the University of York's Department of Politics website claims that 12 of their graduates are current MPs, including 3 ministers of state.
If there are that number of York graduates in the House of Commons, the total number of MPs with a degree in politics is probably quite high.
Like Premiership football managers requiring their A Plus coaching badge to manage a premiership club. Do you think all MPs should have to do a degree in Politics to be allowed in to the Commons.