It looks like you're using BibTeX, right? Either way, I think you need to do a \renewcommand on the thebibliography environment, probably along the following lines of the code below (to be inserted in your document's preamble).
Do note that the example assumes you're using the book or the report documentclass (or one that's derived from them); if you use the article documentclass, you'll need to replace the command \chapter* with \section* (one occurrence). I've gone ahead and inserted the required name of the bibliography, viz. "References".
\makeatletter
\renewcommand{\@biblabel}{} %% to suppress the numeric labels (only if needed)
\renewenvironment{thebibliography}[1]
%% If using article documentclass, replace
%% "\chapter*` with "\section*" below
{\chapter*{References}%
\phantom{a}\vspace{3.3cm}
\@mkboth{References}{References}%
\list{\@biblabel{\@arabic\c@enumiv}}%
{\settowidth\labelwidth{\@biblabel{#1}}%
\leftmargin\labelwidth
\advance\leftmargin\labelsep
\@openbib@code
\usecounter{enumiv}%
\let\p@enumiv\@empty
\renewcommand\theenumiv{\@arabic\c@enumiv}}%
\sloppy
\clubpenalty4000
\@clubpenalty \clubpenalty
\widowpenalty4000%
\sfcode`\.\@m}
{\def\@noitemerr
{\@latex@warning{Empty `thebibliography' environment}}%
\endlist}
\makeatother
Separately, I'm not sure what you mean by "Bonus if I can re-align it too back to the left." If you mean that you don't want an indent of entries after the first line, try issuing the command \renewcommand{\bibindent}{0pt}. If you mean that you want to suppress the [.] numeric labels, you'd have to issue the command \renewcommand{\@biblabel}{}, best immediately after the \makeatletter instruction. Or, do you mean you want the text to be left-justified (as opposed to "fully justified")? If so, just issue the command \raggedright before starting the bibliography. Better yet, load the ragged2e package in the preamble and then issue the command \RaggedRight. The latter command is preferable because it doesn't suppress hyphenation.
