These should still be possible. Embarrassment was made harder though.
If you want a easy death by laughter, follow these steps:
So yeah, you need to collect 15 Playful emotion points, with Happy moodlets helping towards it also. Looking at the picture, I'm assuming you collected 7 Playful points there. You need 8 points to advance to Very Playful and 15 points to be Hysterical. Potion of Happiness gives you 100 point happy moodlet, which instantly makes your sim Hysterical.
Once your sim is in that state, each time they do that special Hysterical idle animation, there's a chance that they die.
Teens and sims with Cringe trait are immune to this death.
