Strong, assertive:
* Demand recognition: This is a direct and forceful way to express the insistence.
* Assert oneself: This implies confidently claiming one's worthiness of recognition.
* Claim recognition: This suggests a sense of entitlement to be acknowledged.
More subtle:
* Seek recognition: This implies a desire for acknowledgment, but perhaps without the forcefulness of "demand."
* Strive for recognition: This emphasizes the effort and dedication put into being noticed.
* Yearn for recognition: This conveys a deep longing and need to be acknowledged.
Other options:
* Demand attention: This focuses on the need to be noticed, even if it's not specifically for one's achievements.
* Make a name for oneself: This suggests building a reputation and establishing a presence.
The best word to use will depend on the specific context and the tone you want to convey.