Step 1: Psammoma bodies are round, laminated, concentric calcified structures formed at sites of cell turnover and often within papillary architecture.
Step 2: Classic tumours containing psammoma bodies include papillary carcinoma of the thyroid, papillary serous cystadenocarcinoma of the ovary, meningioma, and papillary renal cell carcinoma. A useful mnemonic is the papillary or serous pattern.
Step 3: Papillary carcinoma of the thyroid contains psammoma bodies in its papillae, cystadenocarcinoma (serous ovarian) and meningioma also characteristically show them.
Step 4: Follicular carcinoma of the thyroid is characterised by capsular and vascular invasion of follicular architecture and does NOT contain psammoma bodies.
Conclusion: The exception is follicular carcinoma of thyroid, so the answer is option 1.