The very best way to learn is to listen to the greats and learn to play their bass lines. To get you used to what ‘different feels’ actually means here are a few examples with some further listening for each style.
8th Note Rock
Check out: Basket Case - Green Day, Rolling In the Deep - Adele (not rock but definitely 8th note feel).
16th Note Funk
Check out: Come On, Come Over - Jaco Pastorius, What Is Hip? - Tower Of Power.
Check out: So What - Miles Davis, All Of Me - Michael Bublé.
12 Bar Blues Shuffle
Check out: Texas Flood - Stevie Ray Vaughan, Stumble - Freddie King.
Check out: Be Ever Wonderful - Earth, Wind and Fire, Norwegian Wood - The Beatles.