In my eyes, Kievit is quite far from Helvetica. I wouldn't say it's more geometric neither. Kievit is a humanist, Helvetica a neo grotesque.

If you're looking for another geometric slab serif (like Lubalin Graph), maybe you'll like Rockwell or Register Serif BTN.

If you want a more humanist touch to your slab, take a look at Archer, Serifa and PNM Caecilia. Those are some of my favourites. Actually, Archer take cues from both geometric and humanist designs, and might be just what you're looking for.

Take a look at Lexia, I think its exactly what your looking for

Jeo.

Rockwell is the timeless classic!

Beton ain't bad either!

H&J’s Archer?
Edit: Oops: already mentioned… (This always happens when I am looking at ‘About Schmidt’.)

. . .
Bert Vanderveen BNO

...but not trendy...

Who are you kidding--slab serifs are trendy right now, isn't that why you want one?
Just something a little more recherché than Archer!

As Avant Garde is an update of Futura, so Lubalin Graph is an update of Memphis.
But are there other "pure" geometric slab serif styles that have the single storey "a" and "g"?--if indeed that's your criterion for mentioning Lubalin Graph, or are you looking to cast the net wider?

My slab: Bodoni Egyptian.

I forgot Bodoni Egyptian. It's lovely!

As noöne else has mentioned it:
House Industries recently have released Neutraface Slab (designed by Susana Carvalho & Kai Bernau, Art Direction by Christian Schwartz and Ken Barber)

are there other “pure” geometric slab serif styles that have the single storey “a” and “g”?

Well, Neutraface Slab has both: a single-storey and a double-storey ‘a' an ‘g'.

If it does not need italic, how about >>>shameless plug<<<: Tertre. Four weights tomorrow, two more coming soon (as they always say ;)

Watch you for Irma Slab from Typotheque!
This caps-only typeface looks like it could fit your bill of a ‘contemporary version of Lubalin Graph’. Irma Slab comes in 9 weights and is the companion to Irma (Sans). The fonts sport a number of fancy display ligatures. Additionally, each letter has inverse and half-inverse alternates that allow creating rhythmic patterns.
F

There is a very interesting, long discussion of different slabs and the development of Archer, in this talk by Hoefler and Frere-Jones. The first half is Jonathan Hoefler arguing that revivals are dead, and then the second half has Frere-Jones talking about Archer and Escrow, their Wall Street Journal text face.

Frere-Jones by the way really hates Lubalin Graph, and the strict geometric slabs in general, which he says "just die on the page."

Here is a direct link to the audio.

Great link, William, thanks for posting it.
The bit about the geometric slabs "dying on the page" is really funny!
"They just sit there, staring at you, seemingly helpless with this… straightjacket that's been applied to them…" (about 38 minutes in). Great stuff. Shame we can't see the images that went with this.

Nina, a collection of the images is on the H&F-J web site, my first link. They are small, and mashed into one graphic, and not labeled, but they are still better than nothing.

They are both wonderfully articulate. Frere-Jones's "underpants on the head school of type design" also made me laugh--applied to the mocking or satirical revivals of the '90s.

Ah, nice (if tiny). Thanks for the pointer. I was curious to see those inspirations behind Archer.

For all of H$FJ's disdain for these geometric styles, Archer seems to be more with'em than again'em.

Check the H&FJ blog, they just linked to a 2007 lecture where they explain how all the styles behind Archer came together.

…which is the link William posted above.

Very good thoughts. Egyptian Bodoni and Lexia are both quite good.

Glypha from Adrian Frutiger could also be an option:
http://new.myfonts.com/fonts/linotype/glypha

Gylpha! I remember drawing all of these extra weights of Glyph for some magazine years ago.
What was that 70s expression: Gag me with a spoon?