^^^
I think this pair works fairly well together. Also, their intro speeches are priceless (Izaya: "Hey, you guys! Beat this guy up, will you?").
Izaya's neutral S (taunt, knife attack, aka "Youkai kamaitachi, SANJOU!") is useful for okizeme (knockdown, neutral S, crouching A/b+AB/throw/qcb+A/B/C, neutral S hits, combo as appropriate):
crouching A, standing B-C, S hits, [crouching C, standing AB, hcf+BC]
crouching B, standing C, qcf+A, S hits, [crouching C, standing AB, hcf+BC]
b+AB, air qcf+A, S hits, walk backwards, A-B-C, hcf+BC (untested)
throw, S hits, Power-Up Blast or [standing B-C, hcf+BC]
qcb+A/B/C, S hits, hcf+BC or (corner) [qcf+AB, jump B-C, double jump B-C, air qcf+A] or (corner) [qcf+AB, crouching C, hcf+BC]
Shizuo's standing AB (subway car door tackle) does four hits, making for an easy hit-confirm (on the second hit) into neutral S:
~standing AB (two hits), S, S hits...
Power-Up Blast
[jumping B-C, double jump C, air qcf+A]
[standing C (charged), hcf+BC]
[jumping C, land, standing B-C, hcf+BC]
On the Japanese wiki, this move is described as "Kanari uzai" ("Fairly obnoxious"). ^_^
Izaya's f+S (trip, stomps) has quicker assist meter recovery:
[~standing AB (three-four hits, depending on distance), f+S (three/four stomps), either Climax Art]
[~standing AB (four hits), f+S (four stomps), crouching B, jump back, air C (charged), hcf+BC]
[~standing AB (four hits), qcf+AB (vending machine throw), f+S (no cancel), stomp follow-ups] (corner only)
On the wiki, the final bullet point in the rundown of this move reads "Tottemo uzai" ("Extremely obnoxious"). :=D