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Some Calendars can be solved entirely through pattern matching, like what is explained in step 2 onwards in next section.
EDIT 29 OCT: And I have added an example of a puzzle solved entirely this way in EXAMPLE B, see end of this guide.

But often you will need to have placed down at least one completed sticker set, to get started.
Easiest way - in my opinion - is like this:

• Find any 'Pair' of stickers already on the Calendar at start.
  Explanation: A 'Pair' is two identical stickers already placed, and with one more of the same sticker waiting to be placed.
  There will always be at least one Pair.
  
  
• Count how many days apart this Pair is.
  Explanation: 'Days apart' = for example, if one sticker is on 3 and the other on 15, this is 12 days apart.
  
  
• Put the last sticker in this set either :
  - Same number of days before the first of the Pair stickers, OR
  - Same number of days after the second of the Pair stickers, OR
  - If the Pair are 30, 28, 26, 24, or 22 days apart - then the last sticker goes in the middle of the Pair stickers.
  This way, all 3 identical stickers in the set are placed with the same spacing between them.
  There is only ONE place on the Calendar the last sticker in the set will fit.
  
  
• Now that you have placed down at least one full sticker set - then the rest of the sticker types can be put down so that you are matching patterns of the stickers already on the calendar. That is, their relative sequences.

This is an example starting puzzle:

Step 1:
- On the starting puzzle here (above), there is one Pair : the brown eggs on 1 & 31.
- They are 30 days apart. And the last of the egg stickers therefore must be placed in the MIDDLE of the Pair. On 16, like this below:

Step 2:
NOTE: For the rest, you can do it in different ways, I have chosen what seemed easiest for me...
- Look at the green pear on 18, above. This is 2 days after the brown egg (on 16).
- So, matching that pattern, put the pear sticker 2 days after the brown egg on 1. On 3, like this below:

NOTE: As you can see, it is impossible to place a green pear after the last egg on 31, since the calendar isn't longer than that.
Step 3:
- Look at the spider on 19, above. This is one day after the green pear.
- So, matching that pattern, put the spider sticker one day after the other Pear sticker. On 4, like this below:

Step 4:
- Look at the red fly on 20, above. This is one day after the spider.
- So, matching that pattern, put the red fly sticker one day after the other spider sticker. On 5, like this below:

Step 5:
- Look at the saucepans on 13, above. This is 3 days before an egg sticker.
- So, matching that pattern, put the saucepan sticker 3 days before the other egg sticker, On 28, like this below:

NOTE: That it isn't possible to put it 3 days before the first of the egg stickers (on 1), since there is no room on the calendar before day 1.
Step 6:
- Look at the ladybird on 29, above. This is one day after the saucepans.
- So, matching that pattern, put the ladybird sticker one day after the other saucepans sticker. On 14, like this below:

Step 7:
- Look at the yellow fly on 26, above. This is 2 days before the saucepans.
- So, matching that pattern, put the yellow fly sticker 2 days before the other saucepans sticker. On 11, like this below:

Step 8:
- Look at the doughnut on 25, above. This is one day before the yellow fly.
- So, matching that pattern, put the doughnut sticker one day before the other yellow fly sticker. On 10, like this below:


Aaand - there's your whole calendar SOLVED :-)

As you can see, there is a 15-day repeating pattern for the whole calendar.
So the pattern of days 1-15, is repeated on 16-30, and start of a third repeat from 31-.
Also note, that all identical stickers are 15 days apart from each other.

So this is, in essence, exactly the same pattern as for the 'counting X-days apart' method.
But just solved in a different way.

NOTE ! : Sometimes you can get a puzzle variation where you need to put 2 (or more!) different stickers on to the same day. That is OK, and is allowed :-)

Enjoy!

This is an example starting puzzle:
NOTE: This puzzle can be solved in different ways. I have chosen what seemed easiest for me, just to show how it CAN be done. Feel free to do it 'your way'...
Step 1:
- Look at the red fly on 5, above. This is 3 days after a house (on 2).
- So, matching that pattern, put the red fly sticker 3 days after the house on 14. On 17, like this below:
Step 2:
- Look at the yellow fly on 7, above. This is 2 days after a red fly.
- So, matching that pattern, put the yellow fly sticker 2 days after the other red fly sticker . On 19, like this below:
Step 3:
- Look at the spider on 21, above. This is 2 days after a yellow fly.
- So, matching that pattern, put the spider sticker 2 days after the other yellow fly. On 9, like this below:
Step 4:
- Look at the ladybird on 24, above. This is 3 days after a spider.
- So, matching that pattern, put the ladybird sticker 3 days after the other spider. On 12, like this below:
Step 5:
- Look at the fishes on 13, above. This is 1 day after a ladybird.
- So, matching that pattern, put the fishes sticker 1 day after the other ladybird. On 25, like this below:
Step 6:
- Look at the house on 14, above. This is 1 day after the fishes.
- So, matching that pattern, put the house sticker 1 day after the other fishes. On 26, like this below:
Step 7:
- Look at the lighthouse on 11, above. This is 1 day before a ladybird.
- So, matching that pattern, put the lighthouse sticker 1 day before the other ladybird. On 23, like this below:
Step 8:
- Look at the seagull on 8, above. This is 1 day before a spider.
- So, matching that pattern, put the seagull sticker 1 day before the other spider. On 20, like this below:

And there's your puzzle SOLVED.