Is there a list displaying the champions in order based on their auto attack range?

Solution 1:

I have created an Excel file matching data from Wikia and LoL Builder Android app.

When I will finish all cross-checks maybe I will post the file in some online repository; in the meanwhile here it is the list of champions ordered by auto attack range:

Champion          Range
Kog'maw (lvl 5 W) 710 (from 500)
Tristana (lvl 18) 703
Jinx (lvl 5 Q)    700 (from 525)
Caitlyn           650
Anivia            600
Ashe              600
Zilean            600
Annie             575
Varus             575
Ziggs             575
Zyra              575
Ahri              550
Brand             550
Cassiopeia        550
Corki             550
Draven            550
Ezreal            550
Elise             550 (human)
Heimerdinger      550
Jhin              550
Kennen            550
Lissandra         550
Lucian            550
Lulu              550
Lux               550
Malzahar          550
Miss Fortune      550
Nami              550
Ryze              550
Sona              550
Soraka            550
Syndra            550
Tristana (lvl 1)  550 (+9 /lvl)
Twitch            550
Vayne             550
Karma             525
Kayle (active E)  525
LeBlanc           525
Nidalee           525
Graves            525
Orianna           525
Quinn             525
Twisted Fate      525
Veigar            525
Viktor            525
Xerath            525
Bard              500
Jayce             500 (cannon)
Kindred           500
Kog'Maw           500
Sivir             500
Swain             500
Teemo             500
Fiddlesticks      480
Janna             475
Karthus           450
Thresh            450
Vladimir          450
Urgot             425
Morgana           400

all other champions have a range of 200 or less.

Solution 2:

I'm ordering the champs by their base level range.

(650) Alright, well Caitlyn is definitely one especially with her passive a great auto attack harasser.

(600) Ashe, with her passive getting that first 100% crit on the enemy and with a volley is almost 3/4 their health.

(550 + 9/level) Depenging on the level, Tristana is a good one also since her passive gives her more and more range the higher the level so she may not be the best harasser early game. She starts with 550 range and ends with 703.

(550) Miss Fortune not only has decent range but she also has a very fast animation which makes for great harassing you can get an attack off before the opposing.

(550) Corki is another with a great passive for harassing since he will deal an addition 10% damage.

I know you mentioned you don't want to use spells but Kog'Maw has to be mentioned.

(500) Kog with the use of his 'W' (Bio Arcane Barage) he increases his range by 130 / 160 / 190 / 220 / 250 , depending on his level and does additional damage base on the targets max health.