Ibanez RG or S series would be a good bet. They have ultra thin necks well suited for 80's shred guitar styles.
Now that the new S series have started getting 24 fret necks, choosing between the RG and S series is becoming extremely difficult. I personally feel that the S series' ZR tremolos are every so slightly smoother than the Edge Zero trems on the current RGs. Moreover, I prefer the darker tones of mahogany over basswood.
-- My current rig
Guitar: '98 MIJ Ibanez RG520 QS w EMG 81/60
Amp: Laney LC15R Tube, Fernandes 20W SS
Pedals: MI Audio Tube Zone Overdrive, Boss OD3, CS3, MT2, HM2, DS2, CE5, DD7, TU3, Beta Aivin DD2 Delay, Dunlop Crybaby 95Q, Stranger Vol Pedal, BBE SupaCharger
Others: Yamaha RBX 374 Bass, Yamaha MM-6 Synth, M-Audio Fast Track, Shure SM-57, Heet Sound E-Bow Plus
Wanted(pm if selling): EB VPJr/Boss FV500L,Ibanez w Original/Lo-Pro Edge