I like most races in Tamriel, but feel most connected with dark elves, khajiit and especially argonians (I feel like the latter are misunderstood underdogs that try their best hehe). The only problem is that the practical aspect of TES games is too dominant, so I never feel like it's worthwhile to choose Dark Elves (due to the outright pathetic Ancestor Ghost thing). Khajiit are cool, but in Oblivion and Morrowind I found their skill sets to be a little at odds with my playstyle. The Argonians were awesome in Morrowind, but in Oblivion they looked really bad. Not at all like lizards SHOULD look.
For Skyrim, if they succeed in making all races look really good, I'm definitely going to play an Argonian - or basically each race. My female Mage might be an Altmer instead of a Breton and I might try my Zahn Mathana character again (a Dunmer swordmaster and destructionist, 2H originally plus Dualwield in Skyrim). Actually, as I'm typing, I'm wondering if I should make a list of 10 characters that all are unique and with a history, and they shall follow me for each new Elder Scrolls game lol.
Imperial - "Tengil" lawful evil character, based on both the Tengil of Sandemo's "Ice People Saga" and the Tengil of Lindgren's "The Lionheart Brothers".
Redguard - "Rolan" defender of the realms, heavy armor and shield (plus 1H weapon) specialist.
Breton - "Elena" shortsighted flurry mage born under The Atronach
Nord - "Voldur" all-out combat survivalist (my version of Conan, basically - little less strong and more agile/cunning, but just as fierce and barbaric)
Orc - "Krugo" TES equivalent to Masamune, Japan's (and the world's) greatest swordsmith in history.
Wood Elf - "Miria" (?) archer healer
High Elf - "Mao Aranosh" hardcoe Archmage who knows every single spell in the book.
Dark Elf - "Zahn Mathana" Battlemage/Spellsword destructionist. Anti-hero (like The Crow and The Punisher), tricked by an Illusion witch into killing his own lover.
Argonian - "Xartos Lloxtrum" Decadent and aristocratic, but fights like a lion for the weak and enslaved, against all injustice. Sometimes, he even infiltrates the unjust strategically.
Khajiit - "Rhuja" The biggest piece of [censored] you'll ever know. He kills and betrays for a living, and could easily be mistaken for the main antagonist of any epic game plot.