Dictionaries don't document the usage you're describing. A "to-do list" is well-known, but a "to-do" is a bustle, stir, or fuss. Using synonyms like "tasks" or "jobs" would avoid the ambiguity.
Still, I had to see if the usage sometimes came up. First, I went to the Corpus of Contemporary American English and compared the collocations for the word following todo and to-do. Here's the result for the much more standard to-do:
By far, you are safest using "to-do list" rather than separating the expression. Only the 19 "to-do's"show signs of pluralization. Within the results, to-do's are mainly listed, tracked, or prioritized, not completed.
Habaradas, Raymund B. "Managing Social Enterprises in the Phillipines: Challenges and Strategies." Arden, Vol. 19, Iss. 2, (2016): 39-56.
"... journals, which can be used to take notes during meetings and listing down to-do 's ..."
Trapani, Gina. "Organize Your Life With Free Online Tools." PC World, Vol. 26, Iss. 7; pg. 110-112.
Before your brain bluescreens, take a moment to offload your entire to-do list into Remember the Milk (rememberthemilk.com), a fullfeatured task manager that categorizes and prioritizes to-do 's into convenient lists.
The 26 results for to-dos have about five results that describe completing the items in some way:
PCWorld you assign character attributes to your tasks and moving you up levels as you complete to-dos. On both the productivity and gamification fronts, it's slightly less compelling than
Essence the financial fitness challenge, let's make sure that you have completed the essential to-dos. Have you: # Ordered your free credit report from annualcreditreport.com? # Obtained
Prevention : Last year, they found that reaction time and the ability to accomplish several to-dos were strong in the middle of the day. TAP INTO IT: * Tackle
Prevention client or boss * Iron out a tough problem with your spouse Tear through your to-dos: Because of your mental quickness, this time of day is best for doing
HarpersBazaar again? '' I don't know. I checked that off my list of to-dos. And I can check off divorce, '' she says, giving a wry
So very occasionally people will use to-dos in the spirit of your first two examples with verbs like to complete and to accomplish. In comparison, "I processed my to-dos" sounds bizarre since "processed" does not mean finishing, completing, accomplishing, or even tearing through your to-dos.