Which analysis for whether more likely to give response matching stimuli than not? This is probably incredibly basic but I'm a bit lost. What analysis would you suggest to identify whether participants are more likely to make a choice (out of 4 categories) which matches the preceding stimuli (one out of the same 4 categories) than a choice that does not match?
This is basically the kind of thing I'm working with
Stimuli  Choice     Match
  a         a         1
  c         b         0
  b         d         0
  a         c         0
  c         c         1
  d         d         1
  d         a         0

Essentially, I just want to know whether the cues influences participants choice, however I do not have data for baseline choices and I'm not sure that it would make sense to use any of the stimuli as a baseline category.

Well I am not sure if I understood your question fully but I suppose you are dealing with a Binomial problem because you have two outcomes of either match or no match. So I would model this problem as follows:
$
y \sim Binomial(N, p)
$
where $y$ is the number of matches. You can easily estimate p having N (number of observations) and your response variable (Match in your example) and if the estimated p is significantly different than 1/4 (assuming the stimulus are given at random) that means the stimuli is affecting the participant choice.
