California (not a country, obviously) is otherwise virtually comparable with Switzerland in this respect. Full constitutional amendments and legislative vetoes can occur via referendum.
EDIT: In practice, larger cities in California seem to have a comparable number of referendums as well. Unfortunately, they're all bundled into an election every 1-2 years rather than the Swiss system of elections every 3-4 months. This has its upsides, mainly in turnout which is still low in much of Switzerland, but also means many "less-notable" issues often aren't discussed in CA to the same degree that they seem to be here.
Not familiar with the Swiss system, but CA system has some interesting nuances - laws enacted as approved propositions cannot be modified at all, except by another approved proposition. In theory, that protects them from legislative overwriting/meddling, but also does not allow to fix unintended consequences. Here’s an example where a proposition was needed to authorize state legislature to make modifications to an older proposition: https://en.wikipedia.org/wiki/2018_California_Proposition_7
And of course, CA still has daylight savings time because this proposition required two thirds vote.
EDIT: In practice, larger cities in California seem to have a comparable number of referendums as well. Unfortunately, they're all bundled into an election every 1-2 years rather than the Swiss system of elections every 3-4 months. This has its upsides, mainly in turnout which is still low in much of Switzerland, but also means many "less-notable" issues often aren't discussed in CA to the same degree that they seem to be here.