There’s pipers way more qualified than me to talk about these things but here’s some of the other well known basic ornaments that you’ll definitely want to add to your bag of tricks. I hope I’m using the right terms. Someone correct if not. These are pretty common ones which work on most any chanter: (they may vary from expert to expert)
Rolling effect for bottom D and E: same fingering for both…alternating the index and middle fingers (G&F#) back and forth, sort of a flutter in cadence with a normal long roll in the music. Bottom D involves lifting the chanter, of course. Lower E, you keep the chanter down, for both octaves. I use these all the time in many tunes and learned them from Todd Denman and Denis Brooks. They also transfer nicely to/from whistle and flute. I hear them in many pro recordings.
One of the more “worn out” familiar tunes would be the slip jig Kid on the Mountain (starting note on E like with many Em tunes) and Scotsman Over the Border (starting note D)-a nice pipe tune -a jig. Dinny Delaney’s is another one where this bottom D flutter comes in handy.
Triplets: there’s several different types of these.
The easier ones would be a 1-2-3 effect (quick as you can tap 3 fingers in a row across the desk), running up the scale, closed holes (stopping the reed quickly between notes) such as A,B,C to d, or B,Cnat,d to upper e. You can practice these over and over, in place, till the notes sound separated (closed hole–staccato) rather than bleeding the notes together (open hole–legato). B,Cnat,d to upper g works nicely in The Flogging Reel and The Boys of Portaferry too.
If the reed is adjusted right, the lower octave (closed hole) E,F#,G can be obtained. If you find that difficult to keep in the lower octave, there’s a tricky way to fake a closed hole E,F#,G…which is done by quickly gracing each of those notes with the A note (3rd finger LH). I hear John McSherry use this one. This gives an open legato flutter effect to a tune in that spot. The upper octave works easier for these. At times you can ascend from B all the way to the upper g (closed hole) moving in rapid succession. One common tune you might hear some players do this on is The Swallow’s Tail Reel in the 2nd measure, kind of a double running set of triplets.
The second octave f#,g,a triplet (closed hole), running up the scale, comes pretty easy and is useful at times.
Triplets running down the scale usually come a little harder, but these sound much cooler, I think. The upper octave g,f#,e, to d is a basic one you might hear a lot, like with O’Flynn and McNamara. This one can be done so fast you may not hear the notes, it’ll sound like back-stitching. The old worn out tune Banish Mishfortune can start out with this ornament, I’ll typically run this one in two different places in the first strain, ie, the first eight measures of this tune. If you play the tune, you’ll know where to put it. A nice effect. It can also be used in Queen of the Rushes, 2nd section, key of D. C#,B,A run is another that may take some time to work out.
The tap triplet, (3-3-3) using the same finger, is one you might hear often too. O’Flynn uses this one in Queen of the Rushes, 1st and 3rd sections (key of D), and alternates it with the A,B,A (or A,Cnat,A) triplet. Keenan uses this one on the back d, but this is frowned on by more traditional players. I believe it’s a GHP technique, not sure. It involves simply sliding the thumb back and forth over the hole, or else actually tapping the hole.
The bottom D sometimes needs 2 quick Ds in a row, This is done a couple different ways. If you’re really good you might just bounce the chanter on/off the knee. I often cran, grace, interrupt (whatever you want to call it) the bottom D with the A note, some use the F#. The Hag at the Churn is an example of where this might be done, within the first couple measures. In fact, the entire tune can use many of these ornaments mentioned here.
The B,Cnat,B triplet (or B,d,B) can be more difficult to master, also the A,B,A triplet (or A,C#,A), esp. for RH people. You’ll hear Keenan doing these in Miss McCleods Reel, 2nd section of the tune. It almost sounds flagrant, but like Kevin R. said, it was probably Patsy Touhey that started that one. These really loosen up the left hand. 
Rolls: Rolls on the pipes are not esp. always done like whistle and flute players might do them, although, the better sounding rolls probably came from the piping style. For example, the A roll might be done as A,C#,A,G,A, keeping the LH middle finger down through the entire roll, both octaves. The F# roll might be straight up and down…F#,G,F#,E,F# (except in the upper octave as noted in earlier post). Also the G roll might also be straight up and down…G,A,G,F#,G. Some whistle player will lift two fingers up and two fingers down for this roll. When I heard Joe McKenna play The Gold Ring at the Vancouver Folk Fest years ago, I noted that he rolled the upper g and F# the same way in the 3rd section, letting the F# roll sound a little flat through the roll–extra pressure might bring it up.
The B roll can be done straight up and down, or B,D,B,A,B, both octaves.
Upper f# slide: Lifting the chanter on the upper f# note and 1/2 holing (kind of) can be used to slide in to an fnat and on down to eflat and e. You can immitate fiddler Tommy Peoples sliding on The Rambling Pitchfork first part, with this one. I recently heard a wild, wild version of P. Keenan playing this one in concert in London. I hardly recognized the tune. He must not have been very sober.
The g,f#,e to d tight triplet running down sounds much cleaner in this spot.
These are just some of the intermediate basics to add to your collection that can make your tunes sound more interesting. Listen to Brian McNamara on some of his jigs (A Piper’s Dream album) and you might hear some of these. Esp. listen for the triplets running down (second octave), they don’t really have tones, they’re just kind of fluttering sounds.