A bachelor's degree and a bachelor's degree with honors are the same level. It's just indicates the honors which could mean more for individuals competing for higher degrees at institutions that are competitive and/or employers.
In the US, colleges and university do not typically indicate honors. There are some, but they are rare. The honors category are mostly for bachelor degrees.
Typically, a doctorate is the highest level of education, in terms of degrees. There are individuals who do post doctoral work, however it is not a degree per-say.
The common levels of degrees from lowest to highest is as follows.
associate degree
bachelor degree
master's degree
doctorate degree (highest level of academic achievement)