Banks rallied with Westpac leading gains by 2.4 percent. Australia New Zealand Banking, National Australia Bank and Commonwealth Bank of Australia all ended 1 percent higher
Miners outperformed with Fortescue Metals and BHP Billiton climbing nearly 3 percent each.
Oil firm Caltex soared 13 percent despite forecasting a 30 percent fall in annual profits. But analysts say investors cheered an increase in earnings at its fuel marketing business.
Shanghai 1% lower
The mainland's benchmark Shanghai Composite index closed at a new one-month low for a third straight session on a spike in money market rates. The People's Bank of China (PBOC) skipped open market operations on Thursday for a fifth session and that saw the seven-day repo rate hit its highest level since June for a second straight session.
(Read more: Marching higher once more: China's cash rates)
"The PBOC has sat out of the market and is currently undergoing early stages of liberalization of the markets. With that in mind then perhaps the current levels aren't too alarming and the PBOC could easily step in should the situation get out of hand," said Stan Shamu, market strategist at IG.
Financials led the declines with Hua Xia Bank skidding 3.3 percent and Minsheng Bank declining 2.8 percent.
(Read more: China's shares may be cheap, but they could get cheaper)
South Korean shares pared gains to hover at the flat line after opening at one-week highs.
Steep declines in automakers were to blame as Hyundai Motor and Kia Motor slumped 3.7 and 1 percent, respectively, after the Supreme Court ruled that fixed bonuses should be included in regular wage calculation.
Meanwhile, the won fell to a more than two-week low at 1,062 per dollar after policymakers promised to take action if needed to calm markets following the Fed's decision.
— By CNBC.com's Nyshka Chandran. Follow her on Twitter