Why is high immigration left wing? If left is basically about aiming for more equality, isn't immigration not always left-wing? When there's a housing crisis or companies are importing trained workers rather than training the local poor or it's being used to weaken union power, it's not left wing. The idea of immigrants being ok and tolerance and understanding of those different from oneself might be on the left wing side, but not "immigration is good".
I voted for a national health service being radical and hiking taxes on certain foods to lower their consumption. They both seem out there to me. The health one especially, it depends on what you mean by a national health service. Publicly-funded and publicly-run? How many countries have that to achieve something akin to universal healthcare? The UK, Brazil, Spain, Finland - free at the point of use for many things. Norway, Sweden? Patients pay co-payments. Same in China but with the state covering less of the cost. Some places use private insurance, maybe with the government covering a small % of people (eg Belgium, Netherlands, Japan. Japan has significant co-payments). Others use public funding but private/non-profit delivery (ie non-government clinics/hospitals) for most or much of it like in Germany, France, Austria and Canada. So fully public seems quite RADICAL and free at the point of use even more radical (and you said an NHS, which suggests the British model). Especially for a country like America, where almost everyone currently uses private insurance and private hospitals and people like to have choice.