I don’t play any slip jigs (to be heard) yet but there only seem to be a handful of common ones I should learn. I have:
Fig for a Kiss
The Butterfly
Dusty Miller
Kid on the Mountain
Rocky Road to Dublin
The Snowy Path (?)
Are there any others people here play regularly?
“An Phis Phliuch” - “Whinny Hills Of Leitrim”[ there are 2 tunes with the same name ] - “Hardiman The Fiddler” - “Humours Of Whiskey” - “Will You Come Down To Limerick ?” - “Maire Rua” - “Dever The Dancer” - all fairly common.
One I must learn is “A Trip To Killarney”, which has about 5 or 6 parts.
If you want 2 Scottish 9/8 jigs, try “The Favourite Dram” or “Donald,Willie & His Dog”.
Na Ceannabhain Bhana
An Phis Fliuch
Will you come down from Limerick
Humours od DerrykIssane
Moll Rua
Foxhunters
Hardiman the fiddler
Top it off
Swaggering jig
Humours of Whiskey (Dever the Dancer)
Ride a mile
Boys of ballysodare
Gusty’s frolics
Drops of Brandy
My mind will never be easy
Whinny Hills of Leitrim
Drops of Spring Water
The First Slip
Give us a drink of water
etc etc
(fixed a few typos)
So here I am just yesterday beginning to master ‘Butterfly’ and you folks have to start putting out these long lists. Sigh! So many tunes, so little time and talent. Its hard to keep thinking young with all these weighty matters to deal with.
See! See Martin! We told you there were more than five! 
(not that we could think of any mind you!)
I love slip jigs. In addition to Peter’s excellent list, here are a few more favourites:
The Night Larry Got Stretched / Leitrim Quick-Step
Open the Door for Three
The Rakes of Westmeath
Elizabeth Kelly’s Delight
djm
Here are a couple more:
Promenade
Barney Brallighan
Slipjijgs are fun to play and they sound “really Irish” too.
Arra Mountains
Redican’s Mother
Slip Jigs are my absolute favorites too.
Another good one to add to the list of fun to play is The Red Haired Girl from Dossan of Heather. That’s a favorite of mine anyway.
I’m curious. Do those of us who are partial to Slip Jigs play fewer reels?
I fall in that catagory too.
I love Slip Jigs also.
Try “Strayaway Child” - be sure to learn all 5 parts! A good tune to play in a slow haunting style, but fun fast too.
Few more nice slip/hop jigs:
“The Cock and the Hen”
“Hedigan’s Fancy”
“Tiny the Trooper”
“James Byrne’s”
All true, but it’s not a slip jig.
“Throw The Beetle At Her” CRnE vol IV Great tune… strange title.
Isnt the Foxhunters a slipper?
I just started picking up the Butterfly last night. . . hopefully I can get it down enough to hang with folks at the sesh tomorrow.
It’s not?? 
Ok, I looked it up and it’s not - it’s written in 6/8 
Perhaps it’s just the way I learned it, but it has such a minorish, slipjigish feel, that I had mentally classified it that way.
(BTW, it is in 6 parts! Here is a link to a recording of Michael Gorman playing it - http://www.cranfordpub.com/mp3s/michaelgorman3.mp3 )
Michael Gorman composed it, it is rumoured his wife Maggie Barry actually did but he gets the credit usually.
From Margaret’s telling of the story (“Alan Lomax Collection: I Sang Through the Fairs”), and it’s not that clear the way she tells it, she heard the first two parts in a dream, and remembered it upon waking. From there she or Michael added the rest of the parts; it’s hard to tell if she composed the parts by lilting them out for Michael to figure out on the fiddle, and/or if Michael added the 5th and 6th parts. It appears he, at least, rearranged the various parts into the order we know it. She says she has a 7th part in her head…