Aatrox: Can dodge Q and W.
Ahri: Can dodge everything.
Akali: Can dodge Q, E and first R's targeting. You CANNOT dodge second R.
Alistar: Can dodge W's targeting.
Amumu: Can dodge Q and R.
Anivia: Can dodge everything.
Annie: Can dodge everything.
Aphelios: Can dodge everything.
Ashe: Can dodge everything.
Aurelion Sol: Can dodge everything.
Azir: Can dodge everything.
Bard: Can dodge everything.
Bel'Veth: Can dodge W.
Blitzcrank: Can dodge Q and R.
Brand: Can dodge everything.
Braum: Can dodge Q, R and MAYBE passive if hit from outside. Needs further testing.
Caitlyn: Can dodge everything and R's targeting.
Camille: Can dodge W and R's targeting.
Cassiopeia: Can dodge everything.
Cho'Gath: Can dodge Q, W and E spikes. You CANNOT dodge R.
Corki: Can dodge everything.
Darius: Can dodge Q and E.
Diana: Can dodge Q and R, but latter is difficult.
Dr. Mundo: Can dodge Q.
Draven: Can dodge everything.
Ekko: Can dodge Q.
Elise: Can dodge Human Form's everything, can't dodge anything in Spider Form except E.
Evelynn: Can dodge both parts of Q, W's Charm and R.
Ezreal: Can dodge everything.
Fiddlesticks: Can dodge everything.
Fiora: Can dodge W and R's targeting.
Fizz: Can dodge Q's targeting and R.
Galio: Can dodge Q, W and R. You have to be not in the center when he lands though.
Gangplank: Can dodge Q, E and R.
Garen: Can't dodge anything.
Gnar: Can dodge Q and W passive in Yordle Form. Can dodge Q, MAYBE W in Mega Form. You CANNOT dodge his R.
Gragas: Can dodge Q and R.
Graves: Can dodge Q, W and R easily but autos may be a problem. Even though he's ranged, he's basically melee.
Gwen: Can dodge R.
Hecarim: Can't dodge anything expect E if u have good timing. R is a bit tricky though. If when he ults and he's barely outside the Mist zone, you will be able to dodge it, but it's very unlikely.
Heimerdinger: Can dodge everything including his turrets.
Illaoi: Can dodge her Q and E, R too if she's outside the zone. Tentacles won't spawn if she's unable to hit with R. Also, if she's able to E you and kills the soul, the spawning tentacles won't be able to damage you if you use the Mist.
Irelia: Can dodge Q's targeting, W, E and R.
Ivern: Can dodge Q, E's pop damage if he's barely outside the Mist and Daisy's (R) damage.
Janna: Can dodge Q, W and R.
Jarvan: Can dodge W, but unlikely. Can dodge E though.
Jax: Can dodge Q's targeting.
Jayce: Can dodge everything in his Cannon Form. Cannot dodge anything in Hammer Form.
Jhin: Can dodge everything including his traps. They won't slow you nor damage you.
Jinx: Can dodge everything
Kai'Sa: Can dodge everything.
Kalista: Can dodge her auto attacks and thus, E. Unsure about R. Kalista is the one casting the R, but someone else literally becomes a skillshot and they throw themselves. Likely undodgeable.
Karma: Can dodge everything.
Karthus: Can dodge everything.
Kassadin: Can dodge Q and E.
Katarina: Can dodge Q and R.
Kayle: Can dodge Q and E, also basic attacks and waves after 6/11.
Kayn: Can dodge his W. You CANNOT dodge his R.
Kennen: Can dodge his Q, E and R. But he will likely be in your face when he casts it, so extremely unlikely, unless in teamfights and he focuses on someone else.
Kha'Zix: Can dodge his W.
Kindred: Can dodge Q, W and E but unsure about R. Not sure if you would still get the healing if they would stay outside your Mist. Needs further testing.
Kled: Can dodge Q in both forms.
Kog'Maw: Can dodge everything.
K'Sante: Cant dodge anything? (Im not sure)
Leblanc: Can dodge Q and E with their respective copies.
Lee Sin: Can dodge Q.
Leona: Can dodge E and R.
Lillia: Can dodge Q, E and R.
Lissandra: Can dodge Q, E and R.
Lucian: Can dodge everything.
Lulu: Can dodge Q, W (Polymorph) and E.
Lux: Can dodge everything.
Malphite: Can dodge Q. You CANNOT dodge his R.
Malzahar: Can dodge everything with R's targeting, including Voidlings' damage.
Maokai: Can dodge Q, Saplings (E) and R.
Master Yi: Can't dodge anything.
Miss Fortune: Can dodge everything.
Mordekaiser: Can dodge Q, E and R's targeting.
Morgana: Can dodge Q, W and R.
Nami: Can dodge everything.
Nasus: Can dodge E and W.
Nautilus: Can dodge everything.
Neeko: Can dodge everything.
Nidalee: Can dodge everything in Human Form, can't dodge anything in Cougar Form.
Nilah: Can dodge Q.
Nocturne: Can dodge Q and R's casting, NOT the damage after he casts it.
Nunu: Can dodge W if he stops rolling the snowball and R.
Olaf: Can dodge Q.
Orianna: Can dodge everything.
Ornn: Can dodge Q and R.
Pantheon: Can dodge Q and R.
Poppy: Can dodge E's targeting and R.
Pyke: Can dodge Q and E. Unsure about R (probably no)
Qiyana: Can dodge Q, E's targeting and R.
Quinn: Can dodge Q and E's targeting.
Rakan: Can dodge Q.
Rammus: Can't dodge anything.
Rek'Sai: Can dodge Burrowed Q.
Rell: Can dodge Q.
Renata: Can dodge everything.
Renekton: Can't dodge anything.
Rengar: Can dodge E.
Riven: Can dodge R.
Rumble: Can dodge E and R.
Ryze: Can dodge everything.
Samira: Can dodge Q, E's targeting and R.
Sejuani: Can dodge E and R.
Senna: Can dodge everything.
Seraphine: Can dodge everything.
Sett: Can dodge W.
Shaco: Can dodge E and W, unsure about Clone's (R) damage but unlikely.
Shen: Can't dodge anything.
Shyvana: Can dodge E.
Singed: Can dodge E's targeting.
Sion: Can dodge Q and E.
Sivir: Can dodge everything.
Skarner: Can dodge E.
Sona: Can dodge everything.
Soraka: Can dodge everything.
Swain: Can dodge everything.
Sylas: Can dodge Q, E and many stolen ultimates.
Syndra: Can dodge everything.
Tahm Kench: Can dodge Q.
Taliyah: Can dodge Q, W and E.
Talon: Can dodge W.
Taric: Can't dodge anything.
Teemo: Can dodge everything including his R.
Thresh: Can dodge Q.
Tristana: Can dodge E and R's targeting.
Trundle: Can dodge E and R's targeting.
Tryndamere: Can dodge W.
Twisted Fate: Can dodge everything.
Twitch: Can dodge everything.
Udyr: Can't dodge anything.
Urgot: Can dodge passive, Q and R. You can dodge the skillshot part of the R but cant when he's pulling.
Varus: Can dodge everything.
Vayne: Can dodge everything.
Veigar: Can dodge everything.
Vel'Koz: Can dodge everything.
Vex: Can dodge everything.
Vi: Can dodge R's targeting.
Viego: Can dodge W.
Viktor: Can dodge everything.
Vladimir: Can dodge Q's targeting, E and R.
Volibear: Can dodge E.
Warwick: Can't dodge anything.
Wukong: Can't dodge anything.
Xayah: Can dodge everything, including her feather pulls.
Xerath: Can dodge everything.
Xin Zhao: Can dodge W.
Yasuo: Can dodge ranged Q and E's targeting.
Yone: Can dodge ranged Q, W and R. Yes, Yone's ultimate is dodgeable if he casts it outside of your W.
Yorick: Can dodge his passive, E and R.
Yuumi: Can dodge Q and R.
Zac: Can dodge Q and E.
Zed: Can dodge Q.
Zeri: Can dodge Q, W and R.
Ziggs: Can dodge everything.
Zilean: Can dodge Q.
Zoe: Can dodge everything.
Zyra: Can dodge everything including plants.