I've been messing around in Smash 4 lately, doing some practice and experimenting with my current main, and I've come up with a list of combos.
Combos marked with a [*] are ones I discovered myself. Combos marked with [^] are ideal combos. Note that these combos may not work on all characters. This is also not a complete list and I have likely missed quite a few.

Jab -> D-Tilt

Jab -> F-Tilt

Jab -> F-Smash

Jab -> Dash Grab -> D-Throw -> any combos out of D-Throw

U-Tilt -> U-Tilt -> U-Smash

D-Throw -> Flare Blade *

D-Throw -> Double Edge Dance

D-Throw -> Blazer

D-Throw -> F-Smash (only at low percentages) *

D-Throw -> U-Smash

D-Throw -> U-Tilt -> U-Tilt -> U-Smash *^ (DOES 46% with minimal effort!!!)

D-Throw -> Jab -> Blazer

D-Throw -> Jab -> Dash Grab -> D-Throw -> any single move that combos out of D-Throw besides Double Edge Dance ^