What's the connection? The theme answers have absolutely Nothing in Common with each other. The circles show us that the connection is just NADA.
17-Across. 1965 Beach Boys hit whose B side was "Please Let Me Wonder": DO YOU WANNA DANCE.
29-Across. "Just part of the job": ALL IN A DAY'S WORK.
49-Across. Fruity cocktail: BANANA DAIQUIRI.
And the unifier:
63-Across. Lack of similar interests, and what the three long answers with circled letters have?: NOTHING IN COMMON.
Here's the Grid, so you can see for yourself that the three long answers have Nothing In Common (aka NADA).
Across:
1. __ off: gets smart: WISES. I wanted Mouth off, but the second part of the clue indicates a plural answer.
6. Online customer service option: CHAT.
10. Actor Daniel __ Kim: DAE. Daniel Dae Kim (b. Aug. 4, 1968) was born in Busan, South Korea. He moved with his family to the United States when he was just 1-year old. [Name # 1.]
13. Quaking trees: ASPENS.
15. Honolulu's island: OAHU.
16. Mos. and mos.: YRS. Months and Months add up to Years and Years.
20. Cry of disgust: UGH.
21. Field of greens?: GOLF.
22. "L'shanah __": Rosh Hashanah greeting: TOVAH. Technically, this phrase means "for a good year". Rosh Hashanah is the Jewish New Year.
23. Stage accessory: PROP.
25. "Thor" role for Anthony Hopkins: ODIN. Although Sir Anthony Hopkins (né Philip Anthony Hopkins; b. Dec. 31, 1937) played Odin in Thor, he is probably best known as Hannibal Lecter in The Silence of the Lambs. [Name # 2.]
27. "__ and Juliet": ROMEO. My father was a member of the ROMEOs (Retired Old Men Eating Out). [Name # 3.]
32. Honey liquor: MEAD. I wonder if Margaret Mead (Dec. 16, 1901 ~ Nov. 15, 1978) liked Mead?
33. Uber status: ETA. As in Estimated Time of Arrival. This answer usually refers to plane schedules.
34. Method: Abbr.: SYS. As in System.
35. Depilatory brand: NAIR.
38. Job detail, briefly: SPEC.
41. "__ your imagination!": USE.
44. Animated pic: GIF. As in Graphics Interchange Format.
46. Protective trench: MOAT.
54. Bonus: EXTRA.
55. Khaki alternative: ECRU. Both are shades of brown.
56. Simply must have: NEED.
58. Greek letter between rho and tau: SIGMA.
60. Slog away: TOIL.
62. Director DuVernay: AVA. Ava DuVernay (née Ava Marie DuVernay; b. Aug. 24, 1972) is probably best known for her 2018 film A Wrinkle in Time. [Name # 4.]
66. Letter opener?: ELL. As in the letter "L". I am not keen on this type of clue and answer.
67. Rex Stout sleuth Wolfe: NERO. Nero Wolfe was/is a fictional private detective created in 46 mystery stories written by Rex Stout (né Rex Todhunter Stout; Dec. 1, 1886 ~ Oct. 27, 1975). Stout's mysteries were later adapted into a television series that starred William Cannon (1920 ~ 1994). [Name # 5.]
68. "Cobra Kai" practice: KARATE. Cobra Kai is a martial arts comedy drama television series.
69. Digit on a foot: TOE.
70. Peabody-winning journalist Ifill: GWEN. Gwen Ifill (Sept. 29, 1955 ~ Nov. 14, 2016) hosted Washington Week in Review. She was the first African-American woman to host a nationally televised US public affairs program. Sadly, she died young of cancer. [Name # 6.]
71. Fees for overdue library books, e.g.: FINES. I have 2 overdue books from my local library that should have been returned when I was away. Oops!
Down:
1. Crumple into a ball: WAD UP.
2. Map line connecting points of equal value: ISOGRAM.
3. Small security opening in a door: SPY HOLE.
4. Job listing abbr.: EEO. As in Equal Employment Opportunity.
5. Warm and cozy: SNUG.
6. Disclose: CONFIDE.
7. __ Chinese: world's largest ethnic group: HAN.
8. At the drop of __: A HAT.
9. Some houses with exposed-beam exteriors: TUDORS.
10. Big bundles of energy: DYNAMOS. Also the name of the professional soccer team in Houston.
11. Target sport: ARCHERY.
12. Opposite of WNW: ESE. Points on the compass.
14. Faint: SWOON.
18. "Bridge of Spies" actor Alan: ALDA. Alan Alda (né Alphonso Joseph D'Abruzzo; b. Jan. 28, 1936) is best known for his role as Hawkeye Pierce on M*A*S*H. He'll celebrate his 87th birthday later this month. [Name # 7.]
19. Declare bluntly: AVOW. A crossword staple.
24. Strategize: PLAN.
26. Battle of the Beltways MLB team: NATS. [Name adjacent.]
28. Approves: OKs.
30. Mont. neighbor: IDA. Idaho is adjacent to Montana.
31. Shrill bark: YAP.
36. Swiatek ranked world No. 1 by the WTA in 2022: IGA. [Name # 8.] Hand up if you are familiar with Iga Natalia Świątek (b. May 31, 2001). She is a Polish professional tennis player.
37. Uber service: RIDE.
39. CGI bird in Liberty Mutual ads: EMU. I'll spare you these annoying adverts.
40. Nickel or dime: COIN.
41. Purple yam from the Philippines: UBE.
42. Moment to shine at a jazz recital, perhaps: SAX SOLO.
43. Authorize: ENTITLE.
45. Political subgroup: FACTION.
47. Nameless local guy in The Onion headlines: AREA MAN. Total guess.
48. 50-50 in the Senate, say: TIE VOTE. Hmm... No politics on this blog.
50. Exasperated cry: ARGH!
51. New pet owner's task: NAMING.
52. Wrinkle remover: IRON.
53. "Hurry up!": QUICK.
57. "Homeland" Emmy winner Claire: DANES. Claire Danes (née Claire Catherine Danes; b. Apr. 12, 1979) got her start in the teen drama My So-Called Life. In 2011, she began her role as CIA agent Carrie Mathison on Homeland. [Name # 9.]
59. From the top: ANEW.
61. Bread shape: LOAF.
63. Pickleball court divider: NET. Everything you need to know about Pickleball, but didn't know to ask.
64. Test for aspiring profs: GRE. As in the Graduate Record Examinations, which of often required for admission into graduate school.
65. CT scan kin: MRI.
חתולה
Many thanks to Anonymous T for filling in for me for the last several weeks while I had the opportunity to explore in Southeast Asia. Below are a few photos from my travels.