They don’t naturally go together — the Republican party has always been the party of big business, but since the 1980s used social issues to get poor whites to vote for them.
Against state regulation on social issues and economic issues: Libertarian. No countries are like this. Just a small minority of hard core ideologues.
Conservative on social issues and liberal on economic issues: Religious parties in Israel. The Democratic party before the 70s. Center-right parties in Europe. Probably most parties in Third World countries in Asia, Africa and Latin America.
Even within the two-party system there is room for variation. They are many Republicans who are moderate or liberal on social issues. There are some pro-life Democrats and still some who oppose toeva marriage. Many Democrats are pretty conservative on economic issues because of big business donors and lobbyists and the rightward shift in policy ideology since the 1980s.