Are there any other numbers like $0.999\ldots$? In a manner similar to how the value $1$ can be represented as $0.(9)$ too, are there any other values that exhibit this property when represented in base 10?

To generalize Austin's answer (and since I don't know what "this property" is, exactly): 
The number $0.\overline{a_1a_2...a_n}$ is equal to $ \frac{ a_1a_2 ... a_n}{99\dots9}$, where there are $n$ nines in the denominator. 
So $0. \overline{23} = 23/99$
$0. \overline{123} = 123/999 = 61/333$
