List of pokemon who, IMHO, are classy enough:
Beedrill, Sandshrew, Sandslash, the Nido's, Clefairy (but only if player is girl, gender roles are classy as fuck), vulpix, ninetails, Jigglypuff (for girls), Persian, Golduck, Growlithe, Arcanine, Abra, Kadabra, Alakazam, Machamp, Tentacruel, Ponyta, Rapidash, Magneton, Farfetch'd, Seel, Dewgong, Shellder, Cloyster, Hypno, Horsea, Seadra, Goldeen, Mr. Mime, Lapras, Eevee and Eeveelutions, Legendary's, Mewtwo, GSC starters, Furret, Noctowl, Ledyba, Ledian, Ariados, Chinchou, Baby Pokemon, Natu, Togepi, Togetic, Mareep, Flaffy, Hoppip, Skiploom, Jumpluff, Snubbull, Teddiursa, Hondour, Hondoom, Kingdra, Phanpy, Stantler, Smeargle, Treecko and evolutions, Silcoon, Beautifly, Ralts and evolutions, Slakoth, Slaking, Hariyama, Delcatty, Volbeat and Illumise (but must run both), Roselia, Swalot, Spoink, Cacnea, Cacturne, Swablu, Altaria, Seviper, Lunatone, Solrock, Baltoy, Claydol, Milotic, Chimecho, Absol, Spheal, SSealeo, Walrein, Clamperl, Beldum, Metang, Metagross, Turtwig and evos, Piplup and evos, Roserade, Vespiquen, Cherubi, Cherrim, Drifloon, Buneary, Lopunny, Glameow, Purugly, Bronzor, Bronzong, Munchlax, Riolu, Lucario, Togekiss, dusknoir, Rotom, Snivy and evos, Lillipup and evos, Purrloin, Liepard, Munna, Musarna, Pidove, Tranquill, Unfezant, Whimsicott (for a girl), Gothitelle, Ducklett, Swanna, Deerling, Sawsbuck, Jellicent, Litwick, Lampent, Chandelure, Shelmet, Volcarona
