1. Cheer on Maccabi Haifa! (And Maccabi Netanya, and Maccabi Tel Aviv, and...)
Most of the Israeli sports teams grew out of the original labor unions in Israel, which is why most Israeli sports teams are named either Maccabi-Something or HaPoal-Something, with a few "Beitar-Somethings" thrown in for good measure. Really, the only soccer team worth caring about is Maccabi Haifa, the Israeli champions and hands down the best "football club" in Israel. Oh, yes... I went there, rabid Beitar Yerushalayim fans. You're no match for Yaniv Katan.
2. Go to a doctor's appointment at your local Maccabi clinic.
Israel has an effective form of socialized health care-- it involves the right balance of free-market competition and government funding. We choose between a handful of providers for our health care, and whichever provider we sign up with gives us basic, free service (with additional coverage you can pay for). We're members of Maccabi health care, and I'm guessing by the logo that this is another instance of the same labor union still influencing modern Israeli organizations.
3. Compete in the Macabiah games.
Ok, you know how the Olympics were originally Greek? And you know how the Maccabis fought against the Greeks? So you know what Israel calls its Jewish version of the Olympic games? Welcome to the Maccabiah, which proves that Jews actually are athletic after all.
4. Drive down Rechov Yehuda HaMaccabi
Here's a good one from the comments-- many cities in Israel have a street named after Yehuda HaMaccabi, leader of the Maccabis. Above, Rechov Yehuda HaMaccabi in Kfar Saba. (You can ALMOST read the street sign.) There are also numerous Maccabi museums, clubs, and even Maccabi towns.
5. Drink Maccabi beer!
NB reminded me of this one in the comments, and it was too good to leave out. Yes, we have a popular beer brand named after the Maccabis. Don't you love this country?
Let me know if you think of any more!