There are other breeds of funnelwebs that are outside of the greater Sydney region, they just aren't as common I suppose.
Wikipedia: The subfamily includes the following genera and species. Including their common names and distribution
Atrax O. P.-Cambridge, 1877
Atrax robustus O. P.-Cambridge, 1877 (Sydney funnel-web spider) — Sydney, Blue Mountains, Illawarra, Hunter New South Wales
Atrax yorkmainorum Gray, M.R., 2010 — Australian Capital Territory and Riverina
Atrax sutherlandi Gray, M.R., 2010 — Far south coast of New South Wales and east Gippsland, Victoria
Hadronyche L. Koch, 1873
Hadronyche alpina Gray, M.R., 2010 — Kosciuszko National Park, New South Wales to Brindabella Range, Australian Capital Territory
Hadronyche adelaidensis (Gray, 1984) (Adelaide funnel-web spider) — South Australia
Hadronyche annachristiae Gray, M.R., 2010 — Kerewong and Lorne State Forests, New South Wales
Hadronyche anzses Raven, 2000 (Northern funnel-web spider) — Queensland
Hadronyche cerberea L. Koch, 1873 (Tree funnel-web spider or Southern funnel-web spider) — New South Wales
Hadronyche emmalizae Gray, M.R., 2010 — New South Wales
Hadronyche eyrei (Gray, 1984) (Eyre Peninsula funnel-web spider) — South Australia
Hadronyche flindersi (Gray, 1984) (Flinders funnel-web spider) — South Australia
Hadronyche formidabilis (Rainbow, 1914) (Northern Rivers funnel-web spider or Northern Tree funnel-web spider) — Queensland, New South Wales
Hadronyche infensa (Hickman, 1964) (Toowoomba funnel-web spider or Fraser Island funnel-web spider) — Queensland, New South Wales
Hadronyche insularis (Rainbow, 1913) — Solomon Islands
Hadronyche jensenae Gray, M.R., 2010 — Gippsland, Victoria
Hadronyche kaputarensis Gray, M.R., 2010 — Endemic to Mount Kaputar
Hadronyche levittgreggae Gray, M.R., 2010 — Hawkesbury River region, New South Wales
Hadronyche lynabrae Gray, M.R., 2010 — New South Wales
Hadronyche macquariensis Gray, M.R., 2010 — New South Wales
Hadronyche marracoonda Gray, M.R., 2010 — New South Wales
Hadronyche mascordi Gray, M.R., 2010 — New South Wales
Hadronyche meridiana Hogg, 1902 — Victoria
Hadronyche modesta (Simon, 1891) (Victorian funnel-web spider) — Victoria
Hadronyche monaro Gray, M.R., 2010 — New South Wales
Hadronyche monteithi Gray, M.R., 2010 — Border Ranges, Killarney, Queensland
Hadronyche nimoola Gray, M.R., 2010 — New South Wales
Hadronyche orana Gray, M.R., 2010 — New South Wales
Hadronyche pulvinator (Hickman, 1927) (Cascade funnel-web spider) — Tasmania
Hadronyche raveni Gray, M.R., 2010 — Conondale Range, Queensland
Hadronyche tambo Gray, M.R., 2010 — Gippsland, Victoria
Hadronyche valida (Rainbow & Pulleine, 1918) — Queensland, New South Wales
Hadronyche venenata (Hickman, 1927) (Tasmanian funnel-web spider) — Tasmania
Hadronyche versuta (Rainbow, 1914) (Blue Mountains funnel-web spider) — New South Wales
Hadronyche walkeri Gray, M.R., 2010 — New South Wales
Illawarra Gray, M.R., 2010
Illawarra wisharti Gray, M.R., 2010 — Illawarra region, New South Wales