I am often asked to recommend various types of rolls. Following are lists of rolls that fill these various requests:

Patriotic tunes:

137291 Fourth of July Medley played by the arranger Scott Kirby
137377 Goodbye Broadway, Hello France! played by Pete Wendling
137380 Let's All Be Americans Now played by Pete Wendling (check out the lyrics on this one!) and America, I Love You played by Harold Weber

Favorite ragtime rolls:
This is almost impossible for me, because I don't recut it if I don't like it! But here are some of the first rolls mentioned when someone thinks of good ragtime rolls. Most are by well-known composers.

137221 Charleston Rag played by the composer Eubie Blake
137359 Carolina Shout played by the composer James P. Johnson
137141 Steeplechase Rag played by the composer James P. Johnson
137056 Maple Leaf Rag and Magnetic Rag played by the composer Scott Joplin
137356 Weeping Willow Rag and Something Doing (Joplin) played by the composer Scott Joplin
137020 Contentment Rag (Joseph Lamb) played by Steve Williams
137285 Champagne Rag and Exelcior Rag (Joseph Lamb) arranged rolls
137286 Kinklets and Silver Rockets Rag (Arthur Marshall) arranged rolls
137207 Grandpa's Spells played by the composer Jelly Roll Morton
137200 Shreveport Stomp played by the composer Jelly Roll Morton
137288 That Eccentric Rag and Sapho Rag (J. Russel Robinson) arranged rolls
137313 Great Scott Rag and Kansas City Rag (James Scott) arranged rolls
137358 Grace And Beauty Rag and Quality Rag (James Scott) played by William Arlington

Favorite blues & popular rolls (in general):

137176A St. Louis Blues played by John Arpin
DA-024 / Spring Fever (Bloom) played by the Composer Rube Bloom
137074 I've Got The Yes! We Have No Banana Blues played by James Blythe
137201 Mr. Jelly Lord played by the composer Jelly Roll Morton
137204 London Blues played by the composer Jelly Roll Morton
137087 Eliza played by Robert Billings
137329 Flamin' Mamie (A Red Hot Stepper) played by J. Lawrence Cook
137150 Hurry and Bring It Home Blues played by the composer "Cow Cow" Davenport
137326 It Takes A Long Tall Brown-Skin Gal To Make A Preacher Lay His Bible Down
played by Pete Wendling
137088 Slow and Easy (Norm Spencer) played by Pete Wendling
Wel-049 When the Red, Red Robin Comes Bob, Bob, Bobbin' Along pb Johnny Johnson
Wel-065 Everything's Gonna Be All Right (Davis & Akst) pl. by Ralph Reichenthal
137045 Papa Better Watch Your Step played by Thomas "Fats" Waller

Favorite fast, hot blues rolls:
This is also difficult, but here goes:

137184 Percolatin' Blues played by the composer Lem Fowler
137185 Fowler's Hot Strut played by the composer Lem Fowler
137191 Showin' Out played by the composer Lem Fowler
137299 Dr. Jazzes Raz-Ma-Taz James P. Johnson
137090 I've Got My Habits On (Jimmie Durante) played by James P. Johnson
137346 If You've Never Been Vamped By A Brownskin played by James P. Johnson
137177 Frankie & Johnny Boogie played by Scott Kirby
137245 Mo'lasses (Luckey Roberts) played by the composer Luckey Roberts

Favorite slow, low-down blues rolls:
This is also difficult, but here goes:

Wel-001 Body and Soul played by Robert Armbruster (slow, but not low-down: this is a beautiful bluesy ballad)
137179 Nashville Blues played by the composer Charlie Booty
137188 Gin Mill Blues played by the composer Lem Fowler
137344 Black Snake Blues played by "Lew" Jackson
137292 Aunt Hagar's Blues played by Jim Hession
137071 Jackass Blues played by Teddy Weatherford
137150 Hurry and Bring It Home Blues played by the composer "Cow Cow" Davenport

Rolls with Themodist coding:
137223 Universal Rag and Incandescent Rag (George Botsford) (arranged rolls)
137095 French Pastry Rag and 38th Street Rag played by the composer Les Copeland
137145 Oh, You Devil (Ford T. Dabney) arranged roll
137330 Tenth Interval Rag played by the composer Ted Eastwood
137256 Echoes from the Snowball Club (Harry P. Guy) arranged roll
137162 Twilight Rag played by the composer James P. Johnson

Rolls with Boogie-Woogie bass:
137176A St. Louis Blues played by John Arpin
137177 Frankie & Johnny Boogie played by Scott Kirby
137150 Hurry and Bring It Home Blues played by the composer "Cow Cow" Davenport
137353 New Orleans Hop Scop Blues arranged roll, composed by George W. Thomas