The TVR Chimaera left the factory in Bridgestone S02 tyres, unfortunately these tyres are no-longer available. The S03 aren't as well regarded as the S02s and so most owners have looked elsewhere.
If you to read the forums for advise you'll find general confusion and conflicting results. As such I've attempted to summarise some of the details here.
Speed Ratings
All tyres carry a speed rating, this rating defines the maximum speed for which a tyre is intended.
Speed rating
Max Speed (mph)
N
87
P
93
Q
99
R
106
S
112
T
118
H
130
V
149
W
168
Y
186
Z
149+
TVR Recommend that only 'Z' rated tyres are used, however due to limited availability many drivers use 'V' instead. If you go down this route it's worth informing your insurance company to be sure that it won't affect your cover.
Tyre Alternatives
Here are some of the more common tyre choices:
Vendor
Tyre
Comment
Goodyear
GSD3 Eagle F1
Well respected tyres, but not available for the front wheels.
Goodyear
GSD2 Eagle F1
Not as good as the GSD3s.
Avon
ZZ3
Some positive results.
Falken
ZE512
A budget tyre, not directional.
Toyo
Proxes T1
Not 'Z' Rated (only V)
Dunlop
SP9000
Well respected replacement.
Suppliers
These suppliers are worth a go, it might be worth seeing if they do a discount for TVRCC membership:
This is a big topic and there's a lot of info out there. If you have any tyre suggestions please let me know and I'll add them to the list with your comments. Thanks!