I am looking for some travel advice/recommendations

Hello friends of Switzerland! I am traveling to your country for 5 days next June. I will probably fly into Zurich or Geneva and then to another location from whichever I do not fly into. I plan on renting a car in between Zurich and Geneva. I would like to hear some must see things along the way.

I will be traveling with my wife on our honeymoon and we will be spending 5 days each in 2 countries(Italy being the other). We would like to see some beautiful lakes like Lucerne or visit the Interlaken area too. Also want to loop in the Matterhorn. We are big skiers too but understand skiing is not likely this time of year. I saw a cool cable car going up a mountain that looked pretty cool. Open to suggestions though of things along the way!

Edit: Is asking for travel advice not recommended here? If that is the case I apologize for trying to visit your country