I have the Hot Date expansion and there is a "Tickle..." submenu available for the more outgoing sims. However, the only options that appear under it are "Ribs" and "Extreme."
The Ribs tickle is the familiar short one from the original game, while the Extreme tickle is also a rib tickle, but it's a bit longer, more animated, and elicits a few peals of well-acted laughter instead of just one. What's weird is that it doesn't look like the tickler sim is actually touching the ticklee sim during the extreme tickle.* 😕 It's pretty cool just the same, though.
When I saw the "Tickle..." submenu, my heart leapt for a sec, hoping for some other body parts to get involved, but I guess only so much animation is necessary. (sigh)
*edit: to clarify; it just means that the tickler's hands are not quite on the 'lee's ribs. They're like, floating just above them.