June 18th is the election. Major parties include:
Liberal (more commonly known as Venstre): Currently the largest party in parliament, although they are not part of the incumbent government. A right-leaning liberal party, focused on trimming down the Danish welfare state, cutting taxes, austerity, and because the fill the role of Denmark's largest right-wing party, they also support policies tightening immigration restrictions.
Social Democrats: The leading party in the incumbent government, they elected the first female prime minister of Denmark back in 2011, Helle Thorning Schmidt. (She's the one who took a selfie with Barack Obama) Traditionally a social democratic party that built up the extensive Danish welfare state to what it is today, today they take a more centrist approach to governing, and have increasingly cooperated with right-wing parties, such as tax cuts for the rich. They are still quite socially liberal, exemplified when they legalized gay marriage in Denmark, and are opposed to any increase in immigration restrictions.
Danish People's Party: They are specifically focused on restricting immigration, and their influence in Danish politics has resulted in Denmark having the strictest immigration laws of any Western nation. They reject multiculturalism and Islam, and even go so far as to demand banning all non-Western immigration with the exception of refugees. Other positions include preserving the Danish monarchy, increasing criminal penalties for most crimes, legalizing hate speech, and improving living conditions for the elderly. They demand Denmark leaving the EU, and side with Serbia over Kosovo and Taiwan over China in foreign policy. They are generally viewed as the radical right of Danish politics, but hold some center-left positions on the social safety net.
Social Liberal: They are currently part of the Social Democrat's coalition government. The party portrays itself as a centrist party, but supports the left over the right in most cases. Often viewed as a party of the "urban elite," they support undoing immigration restrictions, a green tax shift which would include a carbon tax with reduced income taxes, and decentralizing educational curriculums to focus less on standardized testing.
Socialist People's Party: A creation of the new left movement of the mid to late 20th century, the party was formerly part of the government coalition with the Social Democrats, but left in protest of the government's decision to sell shares of the state-owned energy company to Goldman Sachs. The party was left divided after its decision to become part of a government coalition for the first time ever was widely viewed as a failure. The party preaches democratic socialism, feminism, and anti-austerity platform. Due to Denmark not having a green party for most of its history, the SPP has traditionally filled this role, and is strongly environmentalist. It is also divided on the issue of EU membership.
Red-Green Alliance: A democratic socialist outfit, it is the only left-wing party not in the government coalition, and is particularly opposed to the Social Democrats recent shift to the center. Party positions include abolition of tuition fees, nationalization of banks, increasing foreign aid, Danish withdrawal from both the European Union and NATO, feminism, and opposition to austerity. They are vocally opposed to both the wars in Iraq and Afghanistan, but voted in favor of intervention in Libya in 2011.
Liberal Alliance: A fairly new party founded in 2007, the Liberal Alliance is a libertarian party. Unlike the other right-wing parties, the party opposes immigration restrictions. Other positions include support for a 40% flat tax, increasing foreign aid, a pro-EU foreign policy, and reducing public spending. It is the only party in support of nuclear power.
Conservative People's Party: Formerly the largest right-wing party in Denmark, it is a shell of its former self and has been on a slow decline for decades. The party is more socially conservative than Venstre, despite the fact that their current leader is gay (although gay rights are largely accepted in Denmark). They generally support austerity, lower taxes, and general right-wing economic policies.
Parties outside Parliament:
The Alternative: Founded in 2013, it is contesting its first general election. The party generally adheres to green values of sustainability, environmentalism, and internationalism, although it also emphasizes entrepreneurship and support for small business.
Christian Democrat: They came up short of winning seats in 2011, and it's questionable whether or not they will now. Generally the most socially conservative, they are the only explicitly pro-life party, and are opposed to pornography and support decentralization of government services to local areas.