Adam Cadre - Varicella http://ifdb.tads.org/viewgame?id=ywwlr3tpxnktjasd
Jon Ingold - Make It Good http://ifdb.tads.org/viewgame?id=jdrbw1htq4ah8q57
Andrew Plotkin - Spider And Web http://ifdb.tads.org/viewgame?id=2xyccw3pe0uovfad
If you want a very good game with almost no puzzles, then definitely Photopia.
http://ifdb.tads.org/viewgame?id=t61i5akczyblx2zd
Anyway, there are so many really must-play IF works from the last decade that the recommendations could go on forever.
You can download it at http://www.wurb.com/if/game/255 (http://mirror.ifarchive.org/if-archive/games/zcode/photopia.... probably being the best choice). It's possible to play it online at http://www.ifiction.org/games/play.php?game=332&mode=htm..., but it's not as much fun as with the real version.
To open the .z5 file you need something like Zoom [1] for Mac, or Frotz [2] for Windows.
[1] http://www.logicalshift.demon.co.uk/mac/zoom.html [2] http://frotz.sourceforge.net/
Violet is a fun, short, one-room game. You have to finish writing the last thousand words of your PhD thesis, or your girlfriend Violet will leave you and go back to Australia. Mostly this means you have to figure out how to deal with distractions. The characterization and narration (in Violet's voice) are charming.
These aren't Infocom games, they're recent games written for Inform. You should be able to find them online, probably playable in the browser.
if anyone is interested, you can play it online here - http://ifdb.tads.org/viewgame?id=4glrrfh7wrp9zz7b (button top right)