I don't mean combo as in the moves, but which combination of weapons do you like to equip Bayonetta with? 
 
I find myself really liking my current Shuraba and Durga (Lightning) mix, but I also love my Shuraba/Onyx Rose too. When I'm using Durga on my hands I put Scarborough Fair on the feet, but I just got Kilgore so I'll have to experiment with that.

I have only finished the game once, but the combination of weapons I have stuck to is the shuraba and the standard guns.

Shuraba and Lt. Col. Kilgore on the feet, Kilgore just does too much damage to not have, seemed way too slow in the hands to be of any real use though.

Kulshedra-Odette is my favorite combination by far.

 
The Katana is sweet imo

My normal setup is claws on hands and feet (usually lightning) with the katana and lightning claws as my secondary.  Both of these setups allow for both powerful attacks designed to kill enemies quickly but more importantly both of these setups allow for quick, low damage per hit combos as well to boost the meter.  I switch to sword for multiple enemies where the PKP wicked weave will hit multiple targets (often for floating heads) and claws for the more dangerous angels I need to get rid of fast. 
 
The other notable setup I use is the whip with kilgore.  I use this any time I'm going against kinships (the badly punned boat guys) because the analog stick spin + whip attack is amazing for destroying groups of missiles once you're in witch time as it swirls around you taking out anything in close proximity. 
 
I suppose I should confess that I on occasion use the kilgor (possibly) bug, usually against main bosses at which point I use H: guns F: lightning claws - H: guns F: kilgore

Pillow Talk and Lt. Col Killgore do it for me.

Snake whip and fire/electric claws.

i stick with scarborough fair.

Pillow Talk or Sharuba coupled with Durga is usually my #1 choice. I hated Durga when I first got them but once the penny dropped and I learned how to charge them effectively they became essential. For the second set it's usually Sai Fong (not really powerful but stupidly good fun) and  Scarborough Fair.

I just started back on this game again and am loving sword/claws on hands/feet (I'm playing as Jeanne and as the names of her weapons are different, I don't know the ones that Bayonetta calls the weapons by).

I played through the entire game without even realising I could equip weapons, pretty dumb eh.

I like Shubara as my weapon and Durga as my feet weapon, but I'm only on chapter 6 right now, so that could change, but right now it's tearing everything apart.