Great songs, fine singing and dancing, nifty special effects, beautiful scenery: What else could you ask from a Broadway musical?

Well, other than a story you actually care about. Aladdin falls short in that respect, especially compared to other Disney musicals like The Lion King or Beauty and the Beast. But for most folks who caught the touring show Thursday at the Ohio Theatre, the production’s other attributes were more than enough.

Based on the 1992 animated film and boasting catchy Alan Menken tunes such as “Friend Like Me” and “Whole New World,” Aladdin arrived on Broadway in 2014. There it was nominated for five Tony Awards but won only for James Monroe Iglehart’s performance in the showiest role, the Genie.

In the touring production, much of the attention also is grabbed by the Genie portrayer, Michael James Scott, who leaves no stone unturned in his quest for laughter and applause. Equally committed, if less showy, performances are turned in by other cast members.

Clinton Greenspan leaps agilely and sings sweetly as poverty-stricken thief Aladdin, while Lissa DeGuzman gives Princess Jasmine a feisty, no-nonsense personality. (Is it just me, or does she remind you of SNL’s Melissa Villasenor?) As her father’s scheming adviser, Jafar, and his henchman, Iago, Jonathan Weir and Jay Paranada excel in comic villainy

The cast plies its trade against a backdrop that is often eye-poppingly gorgeous thanks to Bob Crowley’s scenery and Natasha Katz’s lighting. Particularly spectacular is the gold- and jewel-encrusted cave where an important plot development takes place. 

Speaking of the plot, it all stems from Jasmine’s refusal to accept a marriage proposal from a suitably royal suitor despite pressure from her aging father, the Sultan (Jerald Vincent). Jafar hopes to take advantage of her reluctance and the Sultan’s resulting lack of a successor by usurping the throne himself. But his plans go astray when he accidentally connects Aladdin with the Genie, who can grant the young thief anything he desires. And what he desires most is the beautiful Jasmine.

Though other Disney fairy tales have succeeded in keeping the youngest viewers enthralled while offering enough emotional depth to satisfy their parents and older siblings, Aladdin remains stubbornly shallow. We’re supposed to care whether Jasmine ends up with the title character, but we don’t, maybe because we’re given no reason to think love won’t win out. She’s such a strong-willed individual, and the Sultan such a doting father, that we don’t seriously believe she’ll be forced to marry someone she doesn’t want.

As if to make up for the tale’s emotional flatness, director/choreographer Casey Nicholaw fills the production with colorful song-and-dance numbers marked by acrobatic moves with a vaguely Arabic flavor. On top of that, he and his cast tell the story in a relentlessly jokey manner that combines comic stereotypes with winking nods to popular culture and even to other Disney musicals. The approach reaches its zenith when the Genie and multiple dancers perform “Friend Like Me,” a huge Act 1 production number that, following a recent musical trend, is actually a parody of classic Broadway production numbers.

Needless to say, all the jokes, cultural references and parodies make it even harder to take Aladdin and Jasmine’s tale seriously. The only time the show allows us to care about their incipient romance is during the Act 2 number “A Whole New World,” which sends the pair on a breathtaking magic-carpet ride among the stars. It’s a heartfelt, if short-lived, moment.

Say this for the touring show: It spares no effort or expense in its attempt to impress and entertain. If you can get past its emotional stinginess, you’ll likely feel it succeeds.

Broadway in Columbus and CAPA will present Aladdin through Nov. 4 at the Ohio Theatre, 39 E. State St., Columbus. Show times are 7:30 p.m. Monday-Thursday, 8 p.m. Friday, 2 and 8 p.m. Saturday, 1 and 6:30 p.m. Sunday. Running time: 2 hours, 25 minutes (including intermission). Tickets are $34 to $99-plus. Contacts: 614-469-0939 (CAPA), 1-800-745-3000 (Ticketmaster), columbus.broadway.com or capa.com.