Based on Claudia De la Cruz's campaign platform as articulated by the Party for Socialism and Liberation (PSL), here's a comprehensive list of the policies and initiatives she aims to implement if elected President of the United States, should citizens successfully petition her into office:

Economic Reforms:
Nationalize the 100 Largest Corporations: Turn these into public property to democratize economic power.
100% Tax on Income Over $10 Million: Aimed at eliminating billionaires and redistributing wealth.
Abolish Debt: Including student debt, to relieve financial burdens on the populace.
Guaranteed Housing: Recognize housing as a human right, cap rent at 10% of income.
Universal, Cost-Free Healthcare: Implement a single-payer healthcare system.
Racial and Social Justice:
Reparations for Black Americans: Support for reparative measures for historical injustices.
End to Police Brutality: Dismantle structures like the FBI and NSA, end police immunity, and advocate for community-controlled policing.
Full Equality for the LGBTQ+ Community: National legislation to outlaw discrimination, ensure protections in the workplace, and support gender-affirming care.
Support for Undocumented Immigrants: Policies prioritizing the needs of undocumented immigrants.
Environmental Policies:
Combat Climate Change: Transition to renewable energy sources, socialist economic planning to prioritize environmental sustainability.
Foreign Policy and Military:
End U.S. Aid to Israel: Cease all forms of support, recognizing Palestinian rights.
Cut Military Budget by 90%: Redirect funds towards social programs and infrastructure.
End Imperialist Policies: Including ceasing sanctions on countries like Cuba, Venezuela, and others, and recognizing self-determination for colonized peoples.
Education:
Free, High-Quality Education: From preschool through college, with an end to attacks on Black and LGBTQ+ history in schools.
Political Reform:
Abolish the Senate and Supreme Court: Though specifics on how this would be done are not clear, the intent is to fundamentally alter these branches of government.
End the Electoral College: Move towards a more direct form of democracy.
Disband the CIA: And other intelligence agencies seen as tools of imperialism.
Public Financing of Elections: To reduce the influence of money in politics.
Labor Rights:
Guaranteed Living Wages: With union representation, card check unionization processes.
Indigenous Rights:
Full Recognition of Native American Sovereignty: Honor treaty rights and support Indigenous governance.
Women's Rights:
Reproductive Justice: Ensuring access to healthcare, fighting against wage gaps, and more.

Please note, many of these policies are radical departures from current U.S. policy and would require significant legislative and systemic changes to implement. The feasibility of these initiatives within the current political structure would be highly debated, and the execution of such policies would likely face considerable opposition from existing political, economic, and social structures. 

Remember, this list is based on information available up to the point of her campaign announcements and might not reflect every aspect of her platform or how it would adapt in office. The actual implementation would also depend on the political climate, public support, and the composition of Congress at the time.