Two types of $5 bill were printed as part of the 1963 series - familiar green-seal Federal Reserve Notes, and a now-discontinued form of currency called a US Note.
US Notes have red seals and serial numbers, and the words UNITED STATES NOTE across the top.
Federal Reserve Notes have green seals and serial numbers, and the words FEDERAL RESERVE NOTE across the top.
As of 07/2012 both types are worth only face value to $7 if circulated. However, a nice uncirculated one without any folds or other damage could sell for $18-20.
There are more details at the Related Questions for whichever type of bill you have.
Please post a new, separate question with the bill's denomination.More information may be available at the following questions:"What is the value of a 1963 US 1 dollar bill?""What is the value of a 1963 US 5 dollar bill with a green seal?""What is the value of a 1963 US 10 dollar bill?""What is the value of a 1963 US 20 dollar bill?"
One dollar.
The US printed both $2 and $5 bills with red seals in the 1963 series. Please see the questions "What is the value of a 1963 US 2 dollar bill?" and "What is the value of a 1963 US 5 dollar bill?" for more information.
There were no silver certificates dated 1963. The banner across the top of your bill and its red ink indicate that it's a United States Note. Please see the question "What is the value of a 1963 A US 2 dollar bill?" for more information.
Please check again. The last red-seal $5 bills were dated 1963 and no US bills of any denomination are dated 1964.If the date on your bill is 1963 please see the Related Question "What is the value of a 1963 US 5 dollar bill with a red seal? "
Please post a new, separate question with the bill's denomination.More information may be available at the following questions:"What is the value of a 1963 US 1 dollar bill?""What is the value of a 1963 US 5 dollar bill with a green seal?""What is the value of a 1963 US 10 dollar bill?""What is the value of a 1963 US 20 dollar bill?"
One dollar.
The US printed both $2 and $5 bills with red seals in the 1963 series. Please see the questions "What is the value of a 1963 US 2 dollar bill?" and "What is the value of a 1963 US 5 dollar bill?" for more information.
Please check again. The last red-seal $5 bills were dated 1963 and no US bills of any denomination are dated 1964.If the date on your bill is 1963 please see the Related Question "What is the value of a 1963 US 5 dollar bill with a red seal? "
There were no silver certificates dated 1963. The banner across the top of your bill and its red ink indicate that it's a United States Note. Please see the question "What is the value of a 1963 A US 2 dollar bill?" for more information.
Red seals were standard on United States Notes for all denominations. Please check your bill's denomination and see one of the following for more information: "What is the value of a 1963 US 2 dollar bill with a red seal?" "What is the value of a 1963 US 5 dollar bill with a red seal?"
The seal color should be red rather than yellow, although it's possible your bill's color has changed due to age. Please see the question "What is the value of a 1963 US 2 dollar bill?" for more information.
As of 07/2010 a circulated 1963 US $10 bill retails for about $15 regardless of series letter. Uncirculated ones sell for about $25.
Please check your bill again. "A" is the highest series letter for 1963 $10 bills. You may be looking at the Federal Reserve District letter instead; the series letter if any is next to the date. You can also check the question "What is the value of a 1963 US 10 dollar bill?" for more information.
No US bills are dated 1965. If your bill's date is 1963, please see the Related Question for values.
F3 is almost certainly a plate position indicator, and as such doesn't identify the bill or affect its value. Please see the Related Question for more information about the value of a 1963 $2 US Note.
Please check your bill again and post a new, separate question. The last US $1000 bills were dated 1934. The highest denomination dated 1963 was $100.