new best TP head for RDM (i think best WS head too, but might vary by WS):

Highwing Helm
DEF:113 HP+38 MP+23 STR+26 DEX+22 VIT+24 AGI+19 INT+18 MND+18 CHR+18 Attack+20 "Magic Atk. Bonus"+20 Evasion+33 Magic Evasion+43 "Magic Def. Bonus"+2 Haste+7% Enmity+4 "Double Attack"+3%
WAR, MNK, RDM, THF, DRK, BST, BRD, RNG, SAM, DRG, DNC, RUN

will miss that +8 enspell damage from Umuthi

---------------------------------------
new best TP back for RDM:

Bleating Mantle
DEF:16 Attack+20 Evasion-10 "Triple Attack"+2%
WAR, MNK, RDM, THF, PLD, DRK, BST, BRD, RNG, SAM, NIN, DRG, BLU, COR, DNC, RUN

---------------------------
Nice STR/Att legs for RDM:

Augury Cuisses +1
DEF:124 HP+50 STR+30 VIT+17 AGI+17 INT+33 MND+20 CHR+16 Attack+16 "Magic Atk. Bonus"+16 Evasion+27 Magic Evasion+80 "Magic Def. Bonus"+4 Haste+6% "Conserve MP"+7 Unity Ranking: "Double Attack"+1-3%
WAR, RDM, PLD, DRK, BST, RNG, SAM, DRG, BLU, RUN

-------------------------------

if you're not sporting an REM, then this is nice:

Pukulatmuj +1
DMG:116 Delay:225 Sword skill +242 Parrying skill +242 Enhancing magic skill +11 Magic Accuracy skill +188 Sword enhancement spell damage +11 "Stoneskin" casting time -11% Unity Ranking: INT+5-15
WAR, RDM, THF, PLD, DRK, BRD, RNG, NIN, DRG, BLU, RUN

don't need the stoneskin casting time on it as we easily cap casting time on RDM with other gear. If your enhancing skill isn't up to par with your other gear this can help out. That enspell damage! Only bad thing I can really say about this sword is the low magic acc skill.

---------------------------------
There is also this belt, but I would use Windbuffet +1 or Sweordfaetels +1:

Sailfi Belt +1
Haste+9% Triple Attack"+2% Unity Ranking: Attack+10-15
WAR, RDM, THF, PLD, DRK, BST, BRD, RNG, SAM, NIN, DRG, BLU, COR, DNC, RUN