Most of the googologists (even me) looked at -illions by Jonathan Bowers, who is well known for its array notation and other large numbers. The original Bowers' -illions consist of 4 tiers, which end with multillion. There are some of the attempts to extend the -illions beyond multillion. Here is the link to the original -illions by him.
There, most of the -illions are based off of polytopes, as he is also well known for his work in polytopes.
Note that he uses short scale for the -illions, but I will add the long scale equivalent as well.
The list is collapsible, click/tap on arrow to expand/collapse.
The standard -illion names are highlighted in blue.
The -illions highlighted in cyan represent the established -illions other than Bowers.
The popular numbers that are not -illions are shown in dark red.
The -illions that are mentioned to Bowers, but does not know where it is originated, are highlighted in purple.
The -illions that are coined by Bowers himself, are highlighted in green.
I also added the long scale value (until micrillion, to prevent ambiguity) into the list.
million - 1,000,000
billion - 1,000,000,000 (10^12 in long scale)
Trillion - 10^12 (10^18 in long scale)
Quadrillion - 10^15 (10^24 in long scale)
Quintillion - 10^18 (10^30 in long scale)
Sextillion - 10^21 (10^36 in long scale)
Septillion - 10^24 (10^42 in long scale)
Octillion - 10^27 (10^48 in long scale)
Nonillion - 10^30 (10^54 in long scale)
Decillion - 10^33 (10^60 in long scale)
Undecillion - 10^36 (10^66 in long scale)
Doedecillion - 10^39 (10^72 in long scale)
Tredecillion - 10^42 (10^78 in long scale)
Quattuordecillion - 10^45 (10^84 in long scale)
Quindecillion - 10^48 (10^90 in long scale)
Sexdecillion - 10^51 (10^96 in long scale)
Septendecillion - 10^54 (10^102 in long scale)
Octodecillion - 10^57 (10^108 in long scale)
Novemdecillion - 10^60 (10^114 in long scale)
Vigintillion - 10^63 (10^120 in long scale)
Trigintillion - 10^93 (10^180 in long scale)
Googol - 10^100 (shown for comparison)
Quadragintillion - 10^123 (10^240 in long scale)
Quinquagintillion - 10^153 (10^300 in long scale)
Sexagintillion - 10^183 (10^360 in long scale)
Septuagintillion - 10^213 (10^420 in long scale)
Octogintillion - 10^243 (10^480 in long scale)
Nonagintillion - 10^273 (10^540 in long scale)
Centillion - 10^303 (10^600 in long scale)
Cenuntillion - 10^306 (10^606 in long scale)
Duocentillion - 10^309 (10^612 in long scale)
Centretillion - 10^312 (10^618 in long scale)
Ducentillion - 10^603 (10^1200 in long scale)
Trecentillion - 10^903 (10^1800 in long scale)
Quadringentillion - 10^1203 (10^2400 in long scale)
Quingentillion - 10^1503 (10^3000 in long scale)
Sescentillion - 10^1803 (10^3600 in long scale)
Septingentillion - 10^2103 (10^4200 in long scale)
Octingentillion - 10^2403 (10^4800 in long scale)
Nongentillion - 10^2703 (10^5400 in long scale)
Millillion - 10^3003 (10^6000 in long scale)
*Platillion - 10^6000
Myrillion - 10^30003
Micrillion - 10^3000003 (10^6000000 in long scale)
Nanillion - 10^ 3 billion 3
Picillion - 10^3 trillion 3
Femtillion - 10^3 quadrillion 3
Attillion - 10^3 quintillion3
Zeptillion - 10^3 sextillion 3
Yoctillion - 10^3 septillion 3
Xonillion - 10^3 octillion 3 (this -illion was coined way before 10^(-27) received an official SI prefix, which is ronto-)
Vecillion - 10^3 nonillion 3 (this -illion was coined way before 10^(-30) received an official SI prefix, which is quecto-)
Mecillion - 10^3 decillion 3
Duecillion - 10^3 undecillion 3
Trecillion - 10^3 doedecillion 3
Tetrecillion - 10^3 tridecillion 3 (don't know why it is tridecillion, probably a typo of tredecillion)
Pentecillion - 10^ 3 quattuordecillion 3
Hexecillion - 10^3 quindecillion 3
Heptecillion - 10 3 sexdecillion 3
Octecillion - 10^3 septendecillion 3
Ennecillion - 10^3 octodecillion 3
Icosillion - 10^ 3 novemdecillion 3
Triacontillion - 10^ (3x10^90+3)
Googolplex - 10^10^100 - shown for comparison
Tetracontillion - 10^ (3x10^120+3)
Pentacontillion - 10^ (3x10^150+3)
Hexacontillion - 10^ (3x10^180+3)
Heptacontillion - 10^ (3x10^210+3)
Octacontillion - 10^ (3x10^240+3)
Ennacontillion - 10^ (3x10^270+3)
Hectillion - 10^ (3x10^300+3)
Killillion - 10^ (3x10^3000+3)
Megillion - 10^ (3x10^3million +3)
Gigillion - 10^ (3x10^3billion +3)
Terillion - 10^ (3x10^3trillion +3)
Petillion - 10^ (3x10^3quadrillion +3)
Exillion - 10^ (3x10^3quintillion +3)
Zettillion - 10^ (3x10^3sextillion +3)
Yottillion - 10^ (3x10^3septillion +3)
Xennillion - 10^ (3x10^3octillion +3)
Dakillion - 10^ (3x10^3nonillion +3) - old name vekillion
Hendillion - 10^ (3x10^3decillion +3) - old name mekillion
Dokillion - 10^ (3x10^3undecillion +3) - old name duekillion
Tradakillion - 10^ (3x10^3doedecillion +3) - old name trekillion
Tedakillion - 10^ (3x10^3tridecillion +3) - old name tetrekillion
Pedakillion - 10^ (3x10^3quattuordecillion +3) - old name pentekillion
Exdakillion - 10^ (3x10^3quindecillion +3) - old name hexekillion
Zedakillion - 10^ (3x10^3sexdecillion +3) - old name heptekillion
Yodakillion - 10^ (3x10^3septendecillion +3) - old name octekillion
Nedakillion - 10^ (3x10^3octodecillion +3) - old name ennekillion
Ikillion - 10^ (3x10^(3x10^60) +3) - old name twentillion
Ikenillion - 10^ (3x10^(3x10^63) +3)
Icodillion - 10^ (3x10^(3x10^66) +3)
Ictrillion - 10^ (3x10^(3x10^69) +3) - old name triatwentillion
Icterillion - 10^ (3x10^(3x10^72) +3)
Icpetillion - 10^ (3x10^(3x10^75) +3)
Ikectillion - 10^ (3x10^(3x10^78) +3)
Iczetillion - 10^ (3x10^(3x10^81) +3)
Ikyotillion - 10^ (3x10^(3x10^84) +3)
Icxenillion - 10^ (3x10^(3x10^87) +3)
Trakillion - 10^ (3x10^(3x10^90) +3) - old name thirtillion
Googolduplex - 10^10^10^100 - shown for comparison
Tekillion - 10^ (3x10^(3x10^120) +3) - old name fortillion
Pekillion - 10^ (3x10^(3x10^150) +3) - old name fiftillion
Exakillion - 10^ (3x10^(3x10^180) +3) - old name sixtillion
Zakillion - 10^ (3x10^(3x10^210) +3) - old name seventillion
Yokillion - 10^ (3x10^(3x10^240) +3) - old name eightillion
Nekillion - 10^ (3x10^(3x10^270) +3) - old name nintillion
Hotillion - 10^ (3x10^(3x10^300) +3) - old name hundrillion
Botillion - 10^ (3x10^(3x10^600) +3)
Trotillion - 10^ (3x10^(3x10^900) +3)
Totillion - 10^ (3x10^(3x10^1200) +3)
Potillion - 10^ (3x10^(3x10^1500) +3)
Exotillion - 10^ (3x10^(3x10^1800) +3)
Zotillion - 10^ (3x10^(3x10^2100) +3)
Yootillion - 10^ (3x10^(3x10^2400) +3)
Notillion - 10^ (3x10^(3x10^2700) +3)
Kalillion - 10^ (3x10^(3x10^3000) +3) - old name thousillion
Dalillion - 10^ (3x10^(3x10^6000) +3)
Tralillion - 10^ (3x10^(3x10^9000) +3)
Talillion - 10^ (3x10^(3x10^12,000) +3)
Palillion - 10^ (3x10^(3x10^15,000) +3)
Exalillion - 10^ (3x10^(3x10^18,000) +3)
Zalillion - 10^ (3x10^(3x10^21,000) +3)
Yalillion - 10^ (3x10^(3x10^24,000) +3)
Nalillion - 10^ (3x10^(3x10^27,000) +3)
Dakalillion - 10^ (3*10^ (3*10^30,000) +3) - also called *manillion
Hotalillion - 10^ (3*10^ (3*10^300,000) +3) - also called *lakhillion
Mejillion - 10^ (3x10^(3x10^3,000,000) +3)
Dakejillion - 10^ (3*10^ (3*10^30,000,000) +3) - also called *crorillion
Hotejillion - 10^ (3*10^ (3*10^300,000,000) +3) - also called *awkillion
Googoltriplex - 10^10^10^10^100 - shown for comparison
Gijillion - 10^ (3x10^(3x10^3,000,000,000) +3)
*Bentrizillion - 10^ (6*10^ (6*10^ (6*10^6billion)))
Astillion - 10^ (3x10^(3x10^3trillion) +3)
Lunillion - 10^ (3x10^(3x10^3quadrillion) +3)
Fermillion - 10^ (3x10^(3x10^3quintillion) +3)
Jovillion - 10^ (3x10^(3x10^3sextillion) +3)
Solillion - 10^ (3x10^(3x10^3septillion) +3)
Betillion - 10^ (3x10^(3x10^3octillion) +3)
Glocillion - 10^ (3x10^(3x10^3nonillion) +3)
Gaxillion - 10^ (3x10^(3x10^3decillion) +3)
Supillion - 10^ (3x10^(3x10^3undecillion) +3)
Versillion - 10^ (3x10^(3x10^3dodecillion) +3)
Multillion - 10^ (3x10^(3x10^3tredecillion) +3)
Googolquadraplex - 10^10^10^10^10^100 - shown for comparison
Googolquinplex - 10^10^10^10^10^10^100 - shown for comparison
Illion Numbers by Jonathan Bowers