You said 'multiple seasons' and 'shows I can obsess over.' Gilmore Girls is perfect for you, I guarantee. Hilarious, heartwarming, well-acted, and supremely written. So worth your time. Lorelai Gilmore was in my list for that favorite characters of all time thread a month or so back.
second the Gilmore Girl recommendation! It's so easy to fall in love with this show and it's characters. Ugh, I love this show so damn much.