I think the gap will be more noticeable with clear caulk than matching caulk because the clear caulk will look dark in this case, so I'd use matching caulk if it's available.

I wouldn't. It will look odd and make it difficult to pull the appliances in and out as needed.

I wouldn't. It will look odd and make it difficult to pull the appliances in and out as needed.

NEVER EVER caulk an appliance in place. You have to remove them to clean.

I have a very tight space between the counter and range ... no caulk or silicone.

Right - don't glue appliances to counters. I misunderstood the question.

Thank you all for the suggestions!

I guess I am not talking caulk but clear or white silicone only. I've seen it in my friends' houses and you can hardly tell there is something there. I guess I am afraid of some spills from the top of the range, moisture etc. going between the range and the cabinet.

Example: I like the Italian stove coffee makers and the other day I just forgot about that and there was coffee all over the countertop and maybe there is some in that gap also :)

There are many types of caulking (in order of ease of cleanup & removal): latex, acrylic, silicon, polyurethane, and combinations of the above. What you're calling "clear or white silicone only" is identical to silicone caulk, and it works very well, which is to say it's not particularly easy to remove. It can be done, but it's not easy.

I got it now :) thank you!

You might want to consider a non-adhesive solution - there are a number of companies that make T-shaped seals in a variety of materials to cover this gap. A couple possibilities:
http://www.bedbathandbeyond.com/1/1/47156-range-kleen-silicone-kleen-seam.html
Amazon search results for "oven gap guard"