It’s a long list…
Republicans are more conservative than they have been in a century. Meanwhile, rather than move to the left, Democrats moved right, which is why many people consider Obama a centrist Republican in Democratic clothes. Even The American Conservative.
As was mentioned above, the Affordable Care Act was modeled after Republican ideas instigated as far back as Richard Nixon, and was famously the Heritage Foundation/Libertarian counter to HillaryCare (even though they were touting it years before Clinton was the first lady). Whereas today, Republicans would shut down the government and even default the national debt if that meant repealing what was initially their own idea.
Abortion views have barely changed in four decades, but anti-abortion legislation is at an all-time high.
Sainted Republican Ronald Reagan raised taxes eleven times. Now, a clown car of Republican presidential hopefuls won’t even raise $1 of taxes with a corresponding $10 in budget cuts.
Reagan was also able to support an assault weapons ban without the NRA calling for his impeachment. Meanwhile, today even Democrats cannot pass universal background checks - something 90% of Americans favor.
Cap & Trade was a Republican idea to deal with environmental issues and climate change. Now they are against it.
On immigration, Reagan was able to put amnesty into law. Meanwhile, Obama deports millions and Republicans sue him for Amnesty.
Meanwhile, Hillary Clinton is the presumptive Democratic nominee for president who is considered a war-hawk who loves Wall Street. Which isn’t an issue for Republicans whose neocons love a good war (and some of their brightest lights endorse her) or a nice big bank (some of whom paid her lots of money for her insight). These are legitimate criticisms of Hillary Clinton - except they can’t come from Republicans because they’re even worse on those issues (maybe that’s why they cling to hopes that the emails will be the thing that Benghazi wasn’t).
The only area where things have demonstratively gone more to the left in this country is with regard to LGBT rights - but when you consider that AIDS was a big joke to the Reagan administration, it had nowhere to go but up.
I would give you drugs as well however the shift towards undoing the damage of the drug wars is a relatively bipartisan effort where everyone agrees that mistakes were made and it isn’t working. As for decriminalization efforts, for something that appeals both to liberals and Libertarian-leaning conservatives, it’s moving incredibly slowly and nothing substantial at the federal level seems to be happening.
So yeah, in almost every way the country has gone much farther to the right politically, even in the cases where public sentiment hasn’t changed very much.