> The problem is that all the birthdays and repetitive tasks are cluttering my
> view in agenda TODO items (C-c a t).
>
> Is it possible to make these items show up only in the agenda view (C-c a a)
> and not in the TODO items list (C-c a t)
You could try define a custom agenda command to show all TODO items
except those with deadlines.
(setq org-agenda-custom-commands
'(("t" "TODOs without deadlines" alltodo ""
((org-agenda-skip-function '(org-agenda-skip-entry-if 'deadline))))))
Try that for a start.
Pete